Published
monographies:
- Shchedryk V. Arithmetic of
matrices over rings – Kyiv, Akademperiodyka, 2021. − 278 p. −
https://doi.org/10.15407/akademperiodika.430.278 pdf.
- Vasyl Fedorchuk, Volodymyr Fedorchuk.
Classification of Symmetry Reductions for the Eikonal Equation. –
Institute of Mathematics, Pedagogical University, Cracow, Poland;
Pidstryhach Institute for Applied Problems of Mechanics and Mathematics of
National Academy of Sciences of Ukraine, Lviv, 2018. – 176 p. pdf
- Shchedryk V.P. Factorization of matrices over elementary divisor rings. – Lviv: Pidstryhach Institute for
Applied Problems of Mechanics and Mathematics NAS of Ukraine, 2017.
– 304 p. (in Ukrainian) pdf.
- Petrychkovych V.Ì. Generalized equivalence of
matrices and its collections and factorization of matrices over rings. – L’viv: Pidstryhach Institute for Applied Problems of Mechanics and
Mathematics of the NAS of Ukraine, 2015. – 312 p. pdf. (in
Ukrainian)
- Kazimirs’kii P.S. Factorization of matrix polynomials (second edition revised). – L’viv: Pidstryhach Institute for Applied
Problems of Mechanics and Mathematics of the NAS of Ukraine, 2015. – 282 p. pdf. (in Ukrainian)
- Shmoilov B. I. Solving of
algebraic equations by continuous fractions. – Lvov: Merkator. – 2003. – 599 p. (in Russian)
- Shmoilov B. I. Continuous
fractions and two classical problems of algebra. – Lvov: Merkator. – 2003. – 862 p. (in Russian)
- Protasov I., Zelenyuk E. Topologies on groups
determined by sequences. – Mathematical Studies: Monograph series, Vol. 4,
VNTL Publishers. – 1999. – 112 p.
- Kazimirs’kii P.S. Factorization of matrix polynomials. – K.: Naukova dumka. – 1981. – 224 p. (in Ukrainian)
Publications
in journals:
2025
- Korzhik
V. The number of nonisomorphic
nonorientable 6-gonal embeddings of complete graphs // Discrete Applied
Mathematics. – 2025. – V. 375. – P. 123–128.
https://doi.org/10.1016/dam.2025.05.040 (Scopus, Q2)
- Prokip Volodymyr. On solutions
of matrix equation AX= B over a Bezout domain // The Electronic Journal of
Linear Algebra. - 2025. - V. 41. - P. 181-192.
https://doi.org/10.13001/ela.2025.8985 (Scopus, Q2)
- Prokip, V.M., Mel’nyk, O.M. and
Kolyada, R.V. On the Divisibility with Remainder of Polynomial Matrices
Over an Arbitrary Field // Journal of Mathematical Sciences. – 2025. –
291, Issue 5. – P. 586–607. https://doi.org/10.1007/s10958-025-07839-5
(Scopus, Q3)
- Fedorchuk, V.M., Fedorchuk,
V.I. On Partial Preliminary Group Classification for Some Class of
(1+3)-Dimensional Monge–Ampère Equations. I. One-Dimensional Lie
Algebras. // Journal of Mathematical Sciences. – 2025. – 291, Issue 5. –
P. 608–616. https://doi.org/10.1007/s10958-025-07840-y (Scopus, Q3)
- Shavarovskii B. Z. On the
Triangular Form of aPolynomial Matrix of Simple Structure and its
Invariants with Respect to Semiscalar Equivalence // Journal of
Mathematical Sciences. - 2025. - 291, Issue 5. - P. 578-585.
https://doi.org/10.1007/s10958-025-07838-6 (Scopus, Q3)
- Shavarovskii B. Z. On the Triangular
Form of 3x3-Matrices of Simple Structure Relative to Semiscalar
Equivalence // Journal of Mathematical Sciences. - 2025. - 287, Issue 2. -
P. 105-133. https://doi.org/10.1007/s10958-025-07579-6 (Scopus, Q3)
- Shchedryk
V. P. Arithmetic Properties of the Solutions of Linear Equations //
Journal of Mathematical Sciences. – 2025. – 287, No.2. – P. 153–159.
https://doi.org/10.1007/s10958-025-07579-6 (Scopus, Q3)
2024
- Ladzoryshyn
N.B., Petrychkovych V.M. Standard
forms of matrices with respect to (z,k)-equivalence and matrix equations
over quadratic rings // Mat. Metody Fiz.-Mek. Polya. – 2024. – 67, ¹ 3–4. (in Ukrainian)
- F. M. Sokhatsky, H. V.
Krainichuk, V. A. Luzhetsky, Canonical and matrix figuration of
quasigroups of the fourth order. Prykl. Probl. Mekh. Mat., Issue 22,
95-105 (2024) (in Ukrainian), https://doi.org/10.15407/apmm2024.22.95-105
- Shavarovskii B.Z On the
classification of one type of polynomial matrices of simple structure with
respect to semiscalar equivalence // Mat. Metody Fiz.-Mekh. Polya. - 2024. - 67, ¹ 1-2. - P. 5-14.
https://doi.org/10.15407/mmpmf2024.67.1-2.5-14 (in Ukrainian).
- Romaniv A. M. On the
divisibility of common multiples of matrices of the third order over
commutative Bezout domains of stable range 1.5 // Prykl. Probl. Mekh.
Mat., Issue 22, 31–36 (2024) (in Ukrainian),
https://doi.org/10.15407/apmm2024.22.31-36
- Fedorchuk V.M., Fedorchuk V.I.
On the Construction and Classification of the Common Invariant Solutions
for the (1+3)-Dimensional Euler – Lagrange – Born – Infeld and Homogeneous
Monge – Ampère Equations // Mat. Metody Fiz.–Mekh. Polya. – 2024. –
67, ¹ 1–2. – P. 15–24. doi: 10.15407/mmpmf2024.67.1-2.15-25 (in Ukrainian)
- Romaniv A. M., Shchedryk V.
P. Reduction of invertible matrices
by two-sided transformations from Zelisko groups to a simpler form //
Carpathian Mathematical Publications. – 2024. – 16 (2). – P. 500–511.
doi:10.15330/cmp.16.2.500-511 (Scopus, 1.0, Q1)
- Shchedryk V. Parametric
2-Decompositions in Complete Linear Groups of Small Order Over a Field //
Ukrainian Mathematical Journal. – 2024. – 76 (2). – P. 330–348.
https://doi.org/10.1007/s11253-024-02323-w (Scopus, 0.669, Q3)
- Dzhaliuk N.S., Petrychkovych V.M. Matrix
linear bilateral equations over different domains, methods for the
construction of solutions, and description of their structure // Journal
of Mathematical Sciences. – 2024. – 282, No.5. – P. 616–645.
https://doi.org/10.1007/s10958-024-07206-w (Scopus, 0.523, Q3)
- Dzhaliuk N.S., Petrychkovych V.M. Kronecker
product of matrices and solutions of Sylvester-type matrix polynomial
equations // Matematychni Studii. – 2024. – 61, No.2. – P. 115–122.
https://doi.org/10.30970/ms.61.2.115-122 (Scopus, 0.675, Q3)
- Romaniv A. M., Shchedryk V. P.
Adequate Properties of Matrix Divisors // Journal of mathematical
sciences. – 2024. – 279, No 2 – P. 141–150.
https://doi.org/10.1007/s10958–024–07001–7
- Ladzoryshyn
N.B., Petrychkovych V.M. On standard forms of the pairs of matrices over
the ring of Gaussian integers with respect to the (z,k)–equivalence //
Journal of mathematical sciences – 2024. – 279, No 2 – P. 133–140.
https://doi.org/10.1007/s10958–024–07000–8
- Korzhik
V. All 2-planar graphs having the same spanning subgraph // The Art of
Discrete and Applied Mathematics. – 2024.
– V. 7. –
P. 1 – 31. https://doi.org/10.26493/2590-9770.1632.16d (Scopus,
0.423, Q4)
- Fedorchuk
V.M., Fedorchuk V.I. On the Symmetry Reduction of the (1+3)-Dimensional
Inhomogeneous Monge–Ampère Equation to Algebraic Equations //
Journal of Mathematical Sciences. – 2024. – 282, No.5. – P. 668–677.
https://doi.org/10.1007/s10958-024-07208-8 (Scopus, Q3)
2023
- Zelisko H. V., Ladzoryshyn N.B., Petrychkovych
V.M. Linear
matrix bilateral
equations over quadratic rings with involution (with Zelisko H. V. and Petrychkovych V.M.) // Appl. probl. mech. and math. – 2023. – 21 – P. 5–16.
https://doi.org/10.15407/apmm2023.21.5-16 (in Ukrainian)
- Bovdi,
V. A., Shchedryk, V. P. Generating solutions of a linear equation and
structure of elements of the Zelisko group II // Quaestiones Mathematicae
– 2023 – 46 (9) – P. 1789–1798. https://doi.org/10.2989/16073606.2022.2112629
- Fedorchuk V.Ì. and Fedorchuk V.I. On the
Classification of Symmetry Reductions for the (1+3)–Dimensional
Monge–Ampère Equation. // Journal of Mathematical Sciences. – 2023. – 272, No. 1. – P. 1–13. https://doi.org/10.1007/s10958–023–06395–0
- Romaniv
A. M. On the Smith normal form of the least common multiple of matrices from
some class of matrices // Journal of mathematical sciences. – 2023. – 277,
No. 1. – P. 53–59. https://doi.org/10.1007/s10958–023–06813–3
- Gatalevych, A. I., Shchedryk V. P. On adequacy of
full matrices // Matematychni Studii. – 2023. – 59.2 – P.115–122. https://doi.org/10.30970/ms.59.2.115–122
- Fedorchuk V.M. and Fedorchuk V.I. On the
Construction and Classification of the Common Invariant Solutions for Some
P(1,4) – Invariant Partial Differential Equations // Applied Mathematics. – 2023 – Vol. 14, No.11 – P. 728–747.
https://doi.org/10.4236/am.2023.1411044
- Shavarovskii
B.Z. On the
triangular form of a polynomial matrix of simple structure and its invariants with respect to
semi–scalar equivalence // Mat. Metody Fiz.–Mekh. Polya. – 2023. – 66, ¹ 1–2. – P. 16–22. (in Ukrainian).
- Prokip V.M., Melnyk O.M.,
Kolyada R.V. On
divisibility with remainder of polynomial matrices over an arbitrary field // Mat. Metody Fiz.–Mekh. Polya. – 2023. – 66, ¹ 1–2. – P. 23–39 (in Ukrainian).
- Fedorchuk V.M., Fedorchuk V.I.
On partial
preliminary group classification of some class of the (1+3)–dimensional Monge – A mpère equations. I. One–dimensional Lie algebras // Mat. Metody
Fiz.–Mekh. Polya. – 2023. – 66, ¹ 1–2. – P. 40–47. (in Ukrainian).
2022
- Petrychkovych
V.M. Standard forms of matrices over rings with respect to different types
of equivalences and their applications in theory of the matrix
factorization and matrix equations // Journal of Mathematical Sciences. –
2022. – 265, No. 3. – P. 345–368.– https://doi.org/10.1007/s10958–022–06057–7.
- Shchedryk
V.P. Arithmetic properties of the solutions of linear equations // Mat.
Metody Fiz.–Mekh. Polya. – 2022. – 65, ¹ 3–4. – P. 44–49. (in Ukrainian)
- Bovdi V., Shchedryk V. Adequacy
of nonsingular matrices over commutative principal ideal domains – arXiv
preprint arXiv:2209.01408, 2022
- Shavarovskii
B.Z. On the Triangular Form of 3 X 3–Matrix of Simple Structure Relative
to Semiscalar Equivalence // Mat. Metody Fiz.–Mekh. Polya. –
2022. – 65, ¹ 3–4. – P. 5–28.
- Shavarovskii
B.Z. Conditions of semiscalar equivalence of one class 3x3 matrices of
simple structure // Journal of Mathematics. − 2022. − vol.
2022 Article ID 8395922, 13 pages. − https://doi.org/10.1155/2022/8395922.
- Fedorchuk V.M. , Fedorchuk V.I.
Reduction of the (1 + 3)–dimensional Inhomogeneous Monge–Ampère
equation to first–order partial differential equations // Ukrainian Mathematical
Journal. – 2022. – 74, No. 3. – P. 472–483. – https://doi:10.1007/s11253–022–02076–4.
- Fedorchuk
V.M., Fedorchuk V.I. On reduction of the
(1+3)–dimensional inhomogeneous Monge–Ampère equation to the
first–order partial differential equations //
Ukr. Math. J. – 2022. – 74, No. 3. –
P. 418–426.
– https://doi:10.37863/umzh.v74i3.6996. (in
Ukrainian)
- Fedorchuk
V.M., Fedorchuk V.I. on symmetry reduction of the
(1+3)–dimensional inhomogeneous Monge – Ampère equation to
algebraic equations // Mat. Metody Fiz.–Mekh. Polya. – 2022. –
65, ¹ 1–2. – P. 58–64. (in Ukrainian).
- Dzhaliuk N.S., Petrychkovych
V.M. Matrix linear
bilateral equations over different domains, methods for construction of solutions and description
of their structure // Mat. Metody Fiz.–Mekh. Polya. – 2022. –
65, ¹ 1–2. – P. 18–41. (in Ukrainian).
- Dzhaliuk N. S. and
Petrychkovych V. M. Equivalence of matrices in the ring M(n,R) and its
subrings // Ukrainian Mathematical Journal. – 2022. – 73, No.12. – P.
1865– 1872. – https://doi.org/10.1007/s11253–022–02034–0.
- Dzhaliuk
N.S. Solutions of matrix equation AX+YB=C with triangular coefficients // Journal of Mathematical Sciences. – 2022. – 261, No. 1. – P. 25–32. – https://doi:10.1007/s10958–022–05734–x.
- Ladzoryshyn N.B., Petrychkovych
V.M. The number of standard forms of matrices over imaginary Euclidean
quadratic rings with respect to the (z,k)–equivalence // Matematychni Studii. – 2022. – 57, No. 2. – P. 115–121.
https://doi:10.30970/ms.57.2.115–121
- Korzhik V. A simple proof of
the Map Color Theorem for nonorientable surfaces // Journal of
Combinatorial Theory, Ser. B. – 2022. – Vol. 156. – P. 1 – 17. https://doi.org/10.1016/j.jctb.2022.03.004
- Prokip V. M. A note on
semiscalar equivalence of polynomial matrices // Electronic Journal of
Linear Algebra. – 2022. – V. 38. – P. 195–203.
https://doi.org/10.13001/ela.2022.65
- Bilous A.M., Gatalevych A.I.
Stable range of some classes of noncommutative rings // Journal of Mathematical Sciences − 2022. − 261, ¹ 1 −
P. 33–40. https://doi.org/ 10.1007/s10958–022–05735–w
- Romaniv A.M., Dzhaliuk N.S. The structure of the Smith normal form of the greatest common
divisor and the
least common multiple of the third order matrices over Bezout domains of
stable range 1.5 // Applied problems of mechanics and mathematics. – 2022. – Vol 20. – P. 25–30. (in Ukrainian).
2021
- Ladzoryshyn
N. B., Petrychkovych V. M. Standard
form of matrices over quadratic rings with respect to
the (z,k)–equivalence and the structure of
solutions of bilateral matrix linear equations. // Journal of Mathematical
Sciences. − 2021. −
Vol. 253, No. 1, February. – Ð. 54–62.
https://doi.org/10.1007/s10958–021–05212–w
- Romaniv A. M., Shchedryk V. P. Adequate properties of matrix divisors // Mat. Metody
Fiz.–Mekh. Polya. – 2021. – 64,
¹ 4. – P. 25–31. (in Ukrainian)
- Bovdi
V.A., Shchedryk V.P. Generating solutions of a linear equation and
structure of elements of the Zelisko group // Linear Algebra and
Applications. − 2021. − Volume 625. − P. 55−67.
https://doi.org/10.1016/j.laa.2021.04.019
- Ladzoryshyn
N. B., Petrychkovych V. M. On standard forms of pairs of matrices over the ring of gaussian
integers with respect to (z,k)–equivalence // Mat. Metody
Fiz.–Mekh. Polya. – 2021. – 64, ¹ 4. –
P. 18–24. (in
Ukrainian).
- Shchedryk V. The left greatest
common
divisor
and the left
least
common
multiple
for all
solutions
of the matrix
equation BX = A over
a commutative
domain
of elementary
divisors // Ukrainian Mathematical
Journal. − 2021. − 73, No. 2. − P. 303–310. − https://doi.org/10.1007/s11253–021–01923–0.
- Shchedryk V. The left greatest
common
divisor
and the left
least
common
multiple
for all
solutions
of the matrix
equation BX = A over
a commutative
domain
of elementary
divisors // Ukrainian Mathematical Journal. – 2021. – 73, ¹ 2. – P. 261–267. −
https://doi.org/10.37863/umzh.v73i2.6321. (in Ukrainian)
- Vasyl Fedorchuk, Volodymyr
Fedorchuk. On symmetry reduction and some classes of invariant solutions
of the (1 + 3)–dimensional homogeneous Monge–Ampère equation. //
Proceedings of the International
Geometry Center
, Vol. 14, no. 3 (2021) pp. 206–218.
https://doi.org/10.15673/tmgc.v14i3.2078
- Dzhaliuk
N.S. Existence
of the solution of the Sylvester–type matrix equation in the ring of block
triangular matrices
// Applied
problems of mechanics and mathematics. – 2021. – Vol. 19. – P. 79−83. (in Ukrainian)
- Dzhaliuk
N.S., Petrychkovych V.M. Equivalence of matrices in the
ring M(n,R) and in its subrings //
Ukrainian Mathematical Journal. – 2021. – 73, ¹
12. – P. 1612–1618. https://doi.org/10.1007/s11253–021–01923–0.
(in Ukrainian)
- Shavarovskii
B.Z. Oriented by characteristic roots reduced matrices in the class of
semiscalarly equivalent // Journal of Mathematics. − 2021. −
vol. 2021 Article ID 5592756, 6 pages. −
https://doi.org/10.1155/2021/5592756.
- Romaniv A. M. On the Smith normal form of
least common multiple matrices from some class of matrices // Mat.
Metody Fiz.–Mekh. Polya. – 2021. – 64, ¹ 2.
– P. 47–51.
- Romaniv A. M. Ñonditions for constructing of a
square matrix which contains a square submatrix with given invariant
factors // Applied problems of mechanics and mathematics. – 2021. – Vol.
19 – P. 84–87.
- Shchedryk V. Classification of Parametric
Solutions of One–Sided Matrix Equations by the Transforming Matrices of
Their Characteristic Matrices // Journal of Mathematical Sciences – 2021 –
Vol. 254, No. 1 – P. 1–7.
https://doi.org/10.1007/ñ10958–021–05283–9
- Prokip V.Ì. Canonical form of involutory
matrices over the domain of principal ideals with respect to similarity
transformations. // Journal of Mathematical Sciences − 2021. −
258, No. 4 −
P. 437–445.
https://doi.org/10.1007/s10958–021–05558–1
- Prokip
Volodymyr M. On the semi–scalar equivalence of polynomial matrices over a
field // Modeling, Control and Information Technologies: Proceedings of
International scientific and practical conference. – 2021. – ¹.5. – P.
80–82.
https://doi.org/10.31713/MCIT.2021.25
2020
- Petrychkovych
V. M., Zelisko H. V.,. Ladzoryshyn N. B. The standard form of matrices over the ring of gaussian integers
with respect to (z, k)–equivalence // Applied problems of mechanics and
mathematics. − 2020.
– 18. – Ð. 5–10. – https://doi.org/10.15407/apmm2020.18.5–10. (in
Ukrainian)
- Ladzoryshyn N. B., Petrychkovych V. M.,
Zelisko H. V. Matrix Diophantine equations over quadratic rings and their
solutions // Carpathian Math. Publ. − 2020. −12, ¹2. – Ð.
340–347. https://doi.org/10.15330/cmp.12.2.368–375
- Shavarovskii
B.Z. Reduction to a Canonical Form of a Third–order Polynomial Matrix with
One Characteristic Root by means of Semiscalarly Equivalent
Transformations // Journal of Mathematics, vol. 2020, Article ID 7960987,
10pages, 2020. https://doi.org/10.1155/2020/7960987
- Fedorchuk V.M.,
Fedorchuk V.I. On the classification of symmetry reductions for the (1+3)–dimensional
monge – ampère equation // Mat. Metody Fiz.–Mekh. Polya. –
2020. – 63,
(2). – P. 7–16.
(in Ukrainian)
- Fedorchuk V.M. and Fedorchuk V.I. On Symmetry
Reduction of the (1 + 3)–Dimensional Inhomogeneous Monge–Ampère
Equation to the First–Order ODEs // Applied Mathematics. − 2020. −
11. − P. 1178−1195. https://doi.org/10.4236/am.2020.1111080
- Zabavsky
B., Romaniv A., Kysil T. Elementary reduction of matrices over rings of
almost stable range 1 // Algebra and Discrete Mathematics. – 2020. – 29,
No. 2. – P. 271–276. https://dx.doi.org/10.12958/adm1211.
- Prokip
V. Semi–scalar equivalence of polynomial matrices // arXiv preprint
https://arxiv.org/pdf/2003.05041.pdf, 2020, 11 pages.
- Prokip
V. M. Equivalence of Polynomial Matrices over a Field // Hot Topics in
Linear Algebra. –2020 – Chapter 6. – Ð. 205–232.
- Prokip
V. On solvability of the matrix equation AXB = C over a principal ideal domain //
Modeling, Control and Information Technologies: Proceedings of
International scientific and practical conference. – 2020. – ¹. 4. – Ñ.
47–50. https://doi.org/10.31713/MCIT.2020.09
- Shchedryk
V. A greatest common divisor and a least common multiple of solutions of a
linear matrix equation // arXiv preprint https://arxiv.org/pdf/2011.05173.pdf,
2020, 9 pages.
2019
- Petrychkovych V.M. Standard forms of matrices over rings with
respect to different types of equivalences and their applications in
theory of the matrix factorization and matrix equations // Mat. Metody
Fiz.–Mekh. Polya. 62, (4), 7–27, (2019). (in Ukrainian).
- Bovdi V.A., Shchedryk V.P.
Commutative Bezout domains of stable range 1.5 // Linear Algebra and its
Applications. – 2019. – Volume 568. − P. 127−134.
https://doi.org/10.1016/j.laa.2018.06.012
- Bilous
A. Idempotent
matrices over a duo ring // Matematychni Studii. – 2019. – V. 52, No. 3. –
P. 133–137. http://matstud.org.ua/texts/2019/52_2/133–137
- Bilous A. M.,
Gatalevych A. I. Stable range of some classes of non–commutative rings // Mat.
Metody Fiz.–Mekh. Polya. 62, (2), P. 32–37, (2019). (in Ukrainian)
- Dzhaliuk
N. S. Solutions of matrix equation AX+YB=C with
triangular coefficients // Mat. Metody
Fiz.–Mekh. Polya. 62, (2), 26–31, (2019). (in Ukrainian)
- Dzhaliuk
Nataliia S., Petrychkovych Vasyl' M. Solutions of the matrix linear
bilateral polynomial equation and their structure //
Algebra and Discrete Mathematics. – 2019. – 27, ¹ 2. – P. 243–251.
- Romaniv
A. M., Dzhaliuk N. S. Some relationships between the invariant factors of matrix and its
submatrix over elementary divisor domains // Applied problems of mechanics
and mathematics. – 2019. – 17. – P. 38−41.
https://doi.org/10.15407/apmm2019.17.38–41
- Fedorchuk
V.M., Fedorchuk V.I., On symmetry reduction of the
Euler–Lagrange–Born–Infeld equation to linear ODEs // Symmetry
and Integrability of Equations of Mathematical Physics, Collection of
Works of Institute of Mathematics, Kyiv. − 2019. − 16, ¹ 1. −
P. 193−202.
- Fedorchuk
V.M., Fedorchuk V.I., On the classification of symmetry reduction and
invariant solutions for the Euler–Lagrange–Born–Infeld equa–tion. // Ukrainian
Journal of Physics. − 2019. − Vol. 64, No. 12. − P. 1103−1107. https://doi.org/10.15407/ujpe64.12.1103.
- Shavarovskii
B.Z. Non–singular solutions of one class of matrix equations over a polynomial
ring // Applied problems of mechanics and mathematics. – 2019. – Issue 17.
– P. 17–26. https://doi.org/10.15407/apmm2019.17.17–26 (in
Ukrainian)
- Shavarovskii
B.Z. Canonical Form of Reduced 3–by–3 Matrix with One Characteristic Root
and with Some Zero Subdiagonal Elements // Journal of Mathematics. −
2019. − Volume 2019, Article ID 7646132, 10 pages. https://doi.org/10.1155/2019/7646132
- Prokip Volodymyr On Solvability
of the Matrix Equation AX–XB=C over Integer Rings // Modeling, Control and
Information Technologies. –2019. – ¹ 3. – Ð.55–58.
https://doi.org/10.31713/MCIT.2019.04
- Prokip V.M. The canonical form
of involutory matrices over the principal ideal domain with respect to
similarity transformation // Mat. Metody Fiz.–Mekh. Polya. – 2019. – 62, ¹
1. – P.59–66. (in Ukrainian)
- Prokip V.M. On structure of
matrices over a principal ideal domain with respect to similarity
transformation // Proc. Intern. Geom.
Center. – 2019. – V.
12, ¹ 1. – P. 56–69. https://doi.org/10.15673/tmgc.v12i1.1368 (in Ukrainian)
- Prokip V.M., Kolyada R.V.,
Melnyk O.M. About square roots of matrices over an arbitrary field //
Scientific papers UAP. – 2019. – 59, ¹ 2. – P. 56–64. (in Ukrainian)
- Prokip V. M. On the Solvability of a
System of Matrix Equations AX =
B and BY = A Over Associative Rings. //
Journal of Mathematical Sciences. – 2019. – 238, No.1. – P. 22–31.
https://doi.org/10.1007/s10958–019–04215
- Prokip V. Ì. Structure of
Rank–One Matrices Over the Domain of Principal Ideals Relative to
Similarity Transformations. // Journal of Mathematical Sciences. – 2019. –
236, No.1. – P. 71–82.
https://doi.org/10.1007/s10958–018–4098–0
- Prokip V. Ì. On the
divisibility of matrices with remainder over the domain of principal
ideals // Journal of Mathematical Sciences − 2019. − 243, No.1 − P. 45–55.
https://doi.org/10.1007/s10958–019–04524–2
2018
- Ladzoryshyn N.B., Petrychkovych
V.M. The standard form of matrices over quadratic rings with respect
(z,k)–equivalence and structure of solutions
of matrix bilateral linear equations // Mat. Metody Fiz.–Mekh. Polya. –
2018. – ¹61, (2). – P. 49–56. (in Ukrainian)
- Ladzoryshyn N.B., Petrychkovych
V.M. Matrix linear unilateral and bilateral equations over quadratic rings
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Carpathian Math. Publ. – 2018. – 10, No. 1. – P. 179–184.
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Bilavska S. I. Adequate properties of the elements with almost stable
range 1 of a commutative elementary divisor domain // Applied problems of mechanics and
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Volodymyr P. Commutative Bezout domains of stable range 1.5 // arXiv preprint https://doi.org/10.48550/arXiv.1806.0474 , 2018, 9 pages
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V. P. Bezout Rings of Stable Range 1.5 and the Decomposition of a Complete
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with conditions of a stable range // Applied problems of mechanics and
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block matrices // Proceedings The Fourth Conference of Mathematical
Society of the Republic
of Moldova:
dedicated to the centenary of Vladimir Andrunachievici (1917–1997) / ed.:
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with two variables //
Carpathian Math. Publ. – 2017. – 9, No. 1. – P.
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linear unilateral and bilateral equations over quadratic rings // Journal of Mathematical
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Second–Order Polynomial Matrices // International Journal of Analysis. Volume
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Equivalence of Matrices // Journal of Mathematical Sciences. – 2017. – 222, No.
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V.P. Bezout ring of stable range 1.5 and decomposition of complete linear group into product its subgroups // Ukrainian Mathematical Journal. – 2017. – 69, No. 1. – P. 113 – 120
(in Ukrainian).
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five–dimensional d’Alembert equations // Journal of Mathematical Sciences. – 2017. – 220, No. 1 – P. 27–37.
- Fedorchuk V. and Fedorchuk V. On
classification of symmetry reductions for partial differential equations //
Collection of the works dedicated to 80th of anniversary of B.J. Ptashnyk,
Pidstryhach Institute for Applied Problems of Mechanics and Mathematics of
NAS of Ukraine, Lviv, 2017. – P. 241–255.
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V.M. Triangularization of a pair of matrices over the domain of principal
ideals with minimal quadratic polynomials. // Journal of Mathematical Sciences. – 2017. – 222, No.
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V.M. On divisibility with a remainder of matrices over a principal ideal
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V.M. The Structure of Symmetric Solutions of the Matrix Equation AX=B over
a Principal Ideal Domain // Hindawi. International Journal of Analysis. Volume 2017,
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2016
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Fedorchuk and Volodymyr Fedorchuk., On Classification of Symmetry Reductions for the Eikonal Equation // Symmetry 2016, 8(6), 51;
32pages, doi:10.3390/sym8060051.
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A. M. The greatest common divisor and lest common multiple of one class of
matrices // Visnyk L'viv Univ. Series
Mekh.–Math. – 2016. – Issue 82 – P. 186–191. (in Ukrainian).
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B.Z. On invariants and canonical form of matrices of second
order with respect to semiscalar equivalence // Bulet. Acad. de Stinte Republ. Moldova. Matematica,
(2016), 3 (82), 12–23.
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V.M. The structure of matrices of rank one over the domains of principal
ideals with respect to similarity transformation // Mathematical
methods and physico–mechanical fields. – 2016. – 59, No 3. – P. 68–76 (in Ukrainian).
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V.M. A structure of symmetric solutions of the matrix equation AX = B over
an arbitrary field // Proc. Intern. Geom. Center
2016 9(1), 31–37 (in
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2015
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A. M. On
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matrices // Applied
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V.P. The value of matrix on a
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diagonal elements of matrix and its
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V.P. Bezout rings of stable range 1.5 // Ukrainian
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the identity. // Journal of Mathematical
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Mathematical
methods and physico–mechanical fields. – 2015. – 58, No 2. – P. 47–54.(in Ukrainian).
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B. Z. The semiscalar equivalence and
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methods and physico–mechanical fields. – 2015. – 58, No 4. – P. 15–26. (in Ukrainian)
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B. Z. The block–diagonal similarity and semisñalar equivalence of
polynomial matrices // Mathematical methods and physico–mechanical fields.
– 2015. – 58, No 1. – P. 29–41. (in Ukrainian)
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equations // Applied problems of mechanics and
mathematics. 2015. – Issue. 13. – P. 11–17. (in
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2014
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N., Petrychkovych V. Equivalence of pairs of matrices with relatively
prime determinants over quadratic rings of principal ideals // Bul. Acad.
Stiinte Repub. Mold. Mat. – 2014. – 76, ¹3. – P. 38–48.
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A.M., Shchedryk V.P. Greatest common divisor of matrices one of which is a
disappear matrix. // Ukrainian Math. J. – 2014. – 66, No3. – P. 479–485.
- Romaniv A.M., Shchedryk V.P.
Greatest common divisor of matrices one of which has has one invariant
factor different from unity // Ukrainian Mathematical Journal. – 2014. – 66, ¹ 3. – P. 425–430. (in Ukrainian)
- Prokip V.M. On the solvability
of a system of linear equations over the domain of principal ideals. //
Ukr. Mat. Jurn. – 2014. – 66, ¹ 5. – P. 566–570. (in Ukrainian)
- Prokip V.M. On the solvability
of a system of linear equations over the domain of principal ideals. //
Ukrainian Math. J. – 2014. – 66, No 4. – P. 633–637.
- Prokip V.M. On solutions of the matrix
equation XA0=A1
with prescribed characteristic polynomials // Proc. Intern. Geom. Center
– 2014. – V.7 (4). – Ð.23–33. (in Ukrainian)
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greatest common divisors and least common multiples of matrices over
commutative Bezout domains // Applied problems of mechanics and
mathematics. –
2014. – V. 12. – P. 30–36. (in Ukrainian)
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solutions of some five–dimensional d’Alembert equations // Mat. Metodi
Fiz.–Mekh. Polya. – 2014. – 57, ¹ 4. – P. 27–34. (in Ukrainian)
2013
- Petrychkovych V. M.,
Ladzoryshyn N.B. Equivalence of pairs of matrices
with relatively prime determinants over quadratic rings of principal
ideals // Bulet. Acad. de Stinte Republ. Moldova . Matematica. – 2013. – Issue. 11. – P. 63–69. (in Ukrainian).
- Fedorchuk V.I. On a partial preliminary group
classification of the nonlinear five–dimensional d’Alembert equation. // Journal of Mathematical Sciences, – 2013. – 194, No 2 – P. 166–175.
- Ladzoryshyn N.B. On equivalence of pairs of matrices, which determinants are primes powers,
over quadratic Euclidean rings. // Carpathian Mathematical Publications. 5 (1), 63–69, (2013). (in Ukrainian).
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V.P. Generating set of matrices divisors and its properties // Applied problems of mechanics and
mathematics. 2013. – Issue. 11. – P. 70–75. (in Ukrainian).
- Prokip V.M. On normal form with respect to semiscalar equivalence
of polynomial matrices over a field. // J. Math. Sci., New York 194, No. 2, 149–155 (2013).
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the matrices with one invariant factor different from the identity // Mat. Metody Fiz.–Mekh. Polya. – 2013. – 56. – ¹ 4. – P. 67–74. (in Ukrainian)
- Shavarovskii B. Z. Semisñalar equivalence of polynomial matrices
and triangular similarity of numerical matrices // Applied problems of
mechanics and mathematics. 2013. – Issue. 11. – P. 63–69. (in Ukrainian)
- Shavarovskii B.Z. On the Triangular Form of a Polynomial Matrix and
Its Invariants with Respect to the Semiscalar Equivalence // J. Math. Sci.
(N.Y.) – 2013. – 194, No 2. – P. 133–148.
2012
- Petrychkovych V. M., Dzhaliuk N.S. The matrix linear unilateral and bilateral equations with two
variables over commutative rings. // ISRN Algebra, Volume 2012, Article ID
205478, 14 pages, doi: 10.5402/2012/205478
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the Sylvester matrix polynomial equations. Mathematical bulletin of the
Shevchenko scientific society. 9, 81–88, (2012) (in Ukrainian).
- Petrychkovych V. M., Dzhaliuk N.S. Solutions of matrix polynomial diophantine equation. // Applied
problems of mechanics and mathematics. 10, 55 – 61, (2012). (in Ukrainian).
- Romaniv A. M., Shchedryk V. P. The greatest common left divisor and the least common right
multiple of second order matrices // Mathematical bulletin of the
Shevchenko scientific society 9, 269–284, (2012) (in Ukrainian).
- Shchedryk
V.P. Commutative domains of elementary divisors
and some properties of their elements // Ukrainian Mathematical Journal. 2012. – 64, ¹1. – P. 126–139.
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form of polynomial matrices with all identical elementary divisors // Ukr. Math. J. – 2012. – 64, No. 2. – P. 282–297.
- Shavarovskii B.Z. Factorability of polynomial matrices depending on
the powers of their elementary divisors // Zh Vychisl. Mat. Mat Fiz– 2012. – 52, ¹ 7. –
P. 1171–1184. (in Russian)
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respect to semiscalar equivalence // Mathematical
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which one matrix has pairwise relatively prime elementary divisors of
degree at most two // Applied problems of mechanics and
mathematics. 2012. – Issue. 10. – P. 62–70. (in Ukrainian).
- Prokip V.M. Diagonalizability of matrices over a principal ideal
domain. // Ukr. Math. J. 64, No. 2, 316–323 (2012).
- Fedorchuk V.M., Fedorchuk V.I. Invariant operators of four–dimensional nonconjugate subalgebras
of the Lie algebra of the Poincaré group P(1,4) // Journal of Mathematical
Sciences – 2012. – 181, ¹3. – P. 305—319.
- Fedorchuk V.M, Fedorchuk V.I. Classification of non–singular manifolds in the space M(1,4) × R(u) invariant under one– and two– dimensional noncon–jugate
subalgebras of the Lie algebra of the Poincaré group P(1,4) // Scientific bulletin of Uzhorod university. Series Physic. 32, 112 –120, (2012).
2011
- Petrychkovych V. M., Dzhaliuk N.S. The matrix diophantine equations AX+ BY= C // Carpathian Mathematical
Publications 3 (2), 49–56, (2011). (in Ukrainian).
- Romaniv A. M. Monic divisors of polynomial matrices over infinite field // Algebra Discrete Math. – 2011. – 12, No 2. – P. 94–101.
- Romaniv A. M. Monic divisors with canonical diagonal form of polynomial matrices over infinite field //
Matematychni Studii. – 2011. – Vol 36, No 1. – P. 12–20. (in Ukrainian).
- Shchedryk V. On the one–side equivalence of matrices with given canonical
diagonal form // Algebra and Discrete Mathematics. – 2011. – 12, ¹2. – Ñ. 102–111.
- Shchedryk
V.P. On the Interdependence between Invariant Multipliers of a
Block–Triangular Matrix and Its Diagonal Blocks // Mathematical Notes. – 2011. – 90,
¹4. – Ñ. 584 – 596.
- Shavarovskii B. Z On the similarity of matrix polynomials
of simple structure // Applied problems of mechanics and
mathematics. 2011. – I. 9. – P. 74–81. (in Ukrainian).
- Shavarovskii B.Z. Decomposability
of matrix polynomials with commuting coefficients into a product of linear
factors // Ukr. Math. J. – 2011. – 62, No. 8. – P. 1295–1306.
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operators for four–dimensional nonconjugate subalgebras of the Lie algebra
of the Poincaré group P(1,4). // Journal of Mathematical Sciences, – 2012. – 182, No 3 – P. 305–319.
2010
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matrices over rings and their connections. // Applied problems of mechanics
and mathematics. 2010. – I. 8. – P. 7–17. (in Ukrainian).
- Romaniv A. M. Unital divisors with one invariant factor of polynomial matrices // Mathematical
methods and physico–mechanical fields. – 2010. – 53,No 4. – P. 35–43. (in Ukrainian).
- Shchedryk
V.P. On invariant factors of block–triangular matrices and their
diagonal blocks // Dopovidi NAS of Ukraine. – 2010, ¹ 6. – ñ. 34–36 (in Ukrainian).
- Fedorchuk V.M. and Fedorchuk V.I. On the equivalence
of functional bases of differential invariants of nonconjugate subgroups
of local Lie groups of point transformations. // Journal of Mathematical Sciences, – 2010. – 170, No 5 – P. 588–593.
2009
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Zabavsky B.V. On the stable range of matrix rings Ukrainian Mathematical Journal 61 (11), 1853–1857, (2009).
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Applied problems of mechanics and mathematics. 2009. – I. 7. – P. 52–56. (in Ukrainian).
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over elementary divisor domain // Algebra and Discrete Mathematics. –
2009. – ¹2. – P. 79–99.
- Shavarovskii
B.Z. Similarity Transformations of
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Mathematics and Mathematical Physics. V. 49, No. 9, 2009. P. 1469–1482.
2008
- Fedorchuk V.M. and Fedorchuk V.I., On functional bases of the first–order differential
invariants for nonconjugate subgroups of the Poincaré group P(1,4) // Annales Academiae Paedagogicae
Cracoviensis, Studia Mathematica VII (2008), 41–50.
- Romaniv A. M., Shchedryk V. P. On nonassociated and monic divisors of polynomial matrices // Applied
problems of mechanics and mathematics. – 2008. – Issue. 6. – P. 72–79.
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V.P. Some invariants of transforming matrices // Mathematical
studies– 2008. – 29. – P. 121–126 (in Ukrainian).
2007
- Fedorchuk V.M. and Fedorchuk V.I. On invariant
operators of low–dimension nonconjugate subalgebras of the Lie algebra of the
Poincaré group P(1,4). (Ukrainian) // Mat. Metodi Fiz.–Mekh. Polya. – 2007. – 50, N 1. – P. 16–23.
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of block diagonal and block triangular matrices over principal ideal rings (with Dzhaliuk N.S). Mathematical bulletin of the
Shevchenko scientific society. 4, 79–89, (2007).
- Shavarovskii B.Z. Classes of Factorable and Unfactorable Polynomial Matrices and
Their Relative Position // Doklady Mathematics . – 2007 – 75, ¹.2. – Ð. 318–321.
- Shavarovskii B.Z. On the Similarity of Matrices of Even Order. // Mathematical Notes.
– 81, no. 3. – 2007. – P. 392–407.
- Shavarovskii B.Z. Finding a Complete Set of Solutions or
Proving Unsolvability for Certain Classes of Matrix Polynomial Equations
with Commuting Coefficients // Computational Mathematics and Mathematical
Physics. – 2007. – 47, ¹. 12. – Ð. 1902–1911.
- Shavarovskii B.Z. Multiplicative Structure of a Polynomial Matrix Depending on Its
Elementary Divisors// Doklady Mathematics , 2007. – 76, ¹3. – Ð. 843–847.
2006
- Fedorchuk V.M. and Fedorchuk V.I., First–order differential
invariants of the splitting subgroups of the Poincaré group P(1,4)
// Universitatis Iagellonicae Acta Mathematica, 2006, Fasciculus XLIV,
35–44.
- Fedorchuk V.M. and Fedorchuk V.I. On classification of
low–dimensional nonconjugate subalgebras of the Lie algebra of the
Poincaré group P(1,4). (Ukrainian) // Proceedings of the Institute of Mathematics
of NAS of Ukraine,
2006, 3, N 2, 302–308.
- Petrychkovych V. M., Zelisko V.R., Ladzoryshyn N.B. On equivalence of matrices over quadratic Euclidean rings
Applied problems of mechanics and mathematics. 4, 16 – 21, (2006). (in Ukrainian).
- Shavarovskii B.Z. Solvability of Matrix Equations in Rings of Quasi–Diagonal Matrices
and Similarity of Matrix Polynomials // Computational Mathematics and
Mathematical Physics. – 46. ¹. 8. – 2006. – P. 1283–1292.
2005
- Fedorchuk V.M. and Fedorchuk V.I. On
functional bases of first–order differential invariants of continuous
subgroups of the Poincaré group P(1,4). (Ukrainian) // Mat. Metodi
Fiz.–Mekh. Polya. – 2005. – 48, N 4. –
P. 51–58.
- Petrychkovych V. M. Multiplicities of characteristic roots, degrees of elementary
divisors and factorization of polynomial matrices. Mat. Metody Fiz.–Mekh. Polya 48, (2), 7–17, (2005).
- Petrychkovych V. M. On solutions of matrix polynomial equations and the similarity of
matrices. Mat. Metodi Fiz.–Mekh.
Polya. 48, ( 4), 14–19, (2005).
- Petrychkovych V. M., Dzhaliuk N.S. On solution of matrix
polynomial equations and on similarity of matrices. Mat. Metody
Fiz.–Mekh. Polya. 48, ( 4), 14 – 19, (2005).
- Shchedryk V.P. Some determinant properties of primitive matrices
over Bezout B–domain // Algebra and Discrete Mathematics. – 2005. – ¹2. –P. 46–57.
2004
- Vasyl Fedorchuk and Volodymyr Fedorchuk, On the Differential First
– Order Invariants of the Non–Splitting Subgroups of the Poincaré
group P(1,4) // Proceedings of Institute of Mathematics of NAS of Ukraine,
2004, 50, Part 1, 85–91.
- Vasyl M. Fedorchuk and Volodymyr I. Fedorchuk, On the differential
first–order invariants for the non–splitting subgroups of the generalized
Poincaré group P(1,4) // Annales Academiae Paedagogicae
Cracoviensis, Studia Mathematica IV (2004), Folia 23, 65–74.
- Petrychkovych V. M. Generalized equivalence of collections of matrices
and common divisors of matrices. Algebra and Discrete Mathematics.
2, 84 – 91, (2004).
- Petrychkovych V. M., Zelisko V.R. On common divisors of polynomial matrices. Applied problems of mechanics and mathematics. 2, 56 – 60, (2004).
- Petrychkovych V. M. On divisibility and factorization of
matrices. Mat. Stud. 22, ( 2), 115–120 (2004).
- Shavarovskii B.Z. On Some ‘Tame” and “Wild” Aspects of the Problem of Semiscalar
Equivalence of Polynomial Matrices // Mathematical Notes. – 76, no. 1. – 2004. – P. 111–123.
- Shavarovskii B.Z. Solving a System of Linear Homogeneous Two–Sided Matrix
Equations in Two Unknowns. // Computational Mathematics and Mathematical
Physics. – 44. ¹ 11. – 2004. – P. 1853–1866.
2003
- Fedorchuk V.M. and Fedorchuk V.I, On new differential equations of
the first order in the space M(1,4)× R(u) with non–trivial
symmetries // Annales Academiae Paedagogicae Cracoviensis, Studia
Mathematica III (2003), Folia 16, 49–53.
- Petrychkovych V. M., Standard form of pairs of matrices with respect to
generalized equivalence. Visnyk Lviv. Univ., Ser. Mech–Math. 61, 148 – 155, (2003).
- Petrychkovych V. M., Komarnytsky N.Ya. Structure–theoretical properties of matrices finitely generated
principal ideal rings. Mat.
Metody Fiz.–Mekh. Polya. 46, (2), 7 – 21, (2003).
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subgroups // Visnyk Lviv. Univ., Ser. Mech.–Math. – 2003. – 61. – P. 184–190.
- Shavarovskii B.Z. A Complete System of Invariants with Respect to Similarity for
Pairs of Matrices of Even Order with Characteristic Matrix of Special
Smith form // Mathematical Notes. – 73, no. 6. – 2003. – P. 871–888.
- Shavarovskii B.Z. On a Method for Reducing a Pair of Matrices
to Block Diagonal Form by a Similarity Transformation // Computational
Mathematics and Mathematical Physics . – 43. ¹ 9. – 2003. – P. 1231–1240.
2002
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first–order differential invariants for splitting subgroups of the
generalized Poincaré group P(1,4). (Ukrainian) // Dopov. Nats.
Akad. Nauk Ukr. – 2002, N 5. – P.
36–42.
- Fedorchuk V, On invariants of continuous subgroups of the
generalized Poincaré group P(1,4) // Universitatis Iagellonicae
Acta Mathematica, Fasciculus XL, 2002, 197–205.
- Petrychkovych V. M., Dzhaliuk N.S. On common monic
divisors of polynomial matrices with given canonical diagonal form, Mat. Metody Fiz.–Mekh. Polya. 45, ( 3), 7 – 13, (2002).
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V.P. One class of divisors of matrices over
commutative elementary divisor domain // Mathematical studies. – 2002. – 17, ¹1. – P. 23–28 (in Ukrainian)
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V.P. Non associated matrix with standard Ô–skeleton // Math. Method. i Fiz. Mekh. Polia. – 2002. – 45, ¹3. – P. 32–44 (in Ukrainian).
2001
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splitting subgroups of the generalized Poincaré group P(1,4). (Ukrainian) // Mat. Metodi Fiz.–Mekh. Polya. – 2001.– 44, N 1. – P. 16–21.
- Fedorchuk V.I. First–order differential
equations in the space M(1,4)×R(u) with nontrivial symmetry groups.
(Ukrainian) // Group and analytic methods in mathematical physics
(Ukrainian), 283–292, Pr. Inst. Mat. Nats. Akad. Nauk Ukr. Mat. Zastos.,
36, Natsional. Akad. Nauk Ukraini, Inst. Mat., Kiev, 2001.
- Fedorchuk V.I. On second–order differential
equations in the space M(1,4)×R(u) with nontrivial symmetry groups.
(Ukrainian) // Mat. Metodi Fiz.–Mekh. Polya. – 2001. – 44, N. 4. – Ñ. 52–56.
2000
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generalized Poincaré group P(1,4). (Ukrainian) // Mat. Metodi
Fiz.–Mekh. Polya. – 2000. – 43, N 2. – P. 64–69.
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matrices. Linear and Multilinear Algebra. 48, (2), 179 – 188, (2000).
- Petrychkovych V. M. Reducibility of pairs of matrices by generalized equivalent
transformations to triangular and diagonal forms and their applications. Mat. Metody Fiz.–Mekh. Polya. 43, ( 2), 15 – 22, (2000).
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V.P. Ô–skeleton of matrices and its
properties // Math. Method. i Fiz. Mekh. Polia, –2000. – 43, ¹ 2. – P. 45–51 (in Ukrainian).
- Shchedryk
V.P. On transforming matrices over some Bezout
domains // Math. Method. i Fiz. Mekh. Polia – 2000. – 43, ¹ 1. – Ñ. 36–44 (in Ukrainian).
- Shavarovskii
B.Z. Factorable polynomial matrices // Mathematical Notes. – 2000. – 68,
¹4. – Ñ. 507–518.
- Shavarovskii B.Z. On
Semiscalar and Quasidiagonal Equivalences of Matrices // Ukr. Math. J. – 2000. – 52, No. 10. – P. 1638–1643.
1999
Fedorchuk V.M., Fedorchuk I.M. and Fedorchuk
V.I. Symmetry reduction of the five–dimensional Dirac
equation. (Ukrainian) // Dopov. Nats.
Akad. Nauk Ukr. Mat. Prirodozn. Tekh. Nauki, 1999, N 9, P.
24–29.
Petrychkovych V. M. On
the parallel factorization of matrices over principal ideal rings Journal
of Mathematical Sciences, New York,
96, (2), 3022–3025,
(1999).
Shavarovskii B.Z. Decomposition of polynomial matrices into a direct sum of triangular summands
// Ukr. Math. J. – 1999. – 51, No.
8. – P. 1291–1295.
Shavarovskii B.Z. On
decomposition of polynomial matrices into direct sum of matrices of smaller
order // Reports of the Academy of Sciences of Ukraine. – 1999. – ¹4. – P. 49–53.
1998
Shchedryk
V.P. Structure
and properties of matrices divisors over commutative elementary divisor domains // Mathematical studies. – 1998. – 10.
–¹2. – Ñ. 115–120 (in Ukrainian).
Shavarovskii B.Z.
Reduction of matrices of equivalent transformations and similarity
transformations // Mathematical Notes. – 1998. – 64, ¹5. – P.
663–673.
1997
Petrychkovych V. M.
A criterion of diagonalizability of a pair of matrices over the ring of
principal ideals by common row and separate column transformations.Ukr. Math.
J. 49, (6), 963–965,
(1997).
Petrychkovych V. M.
Generalized equivalence of pairs of matrices. . Mat.
Stud. 8, (2),
147 – 152, (1997).
1996
Fedorchuk V.M. Symmetry reduction and some exact solutions of a
nonlinear five–dimensional wave equation. (Ukrainian) //
Ukrain. Mat. Zh. – 1996. – 48,
N 4. – P. 574–577; translation in Ukrainian Math. J., 48 (1996), no.
4, 636–640 (1997).
1995
Fedorchuk
V. Symmetry Reduction and Exact Solutions of the Euler–Lagrange–Born–Infeld, the
Multidimensional Monge–Ampère and the
Eikonal Equations // J. Nonlinear
Math. Phys. – 1995.–
v. 2, N 3–4. –
P. 329–333.
1993
Petrychkovych V. M. Decomposition
of polynomial matrices into factors with prescribed canonical diagonal forms Journal
of Soviet Mathematics. 64 (5), 1129–1131, (1993).
Petrychkovych V. M. Semiscalar
equivalence and the Smith normal form of polynomial matrices Journal
of Soviet Mathematics. 66, No.1,
2030–2033,
(1993).
1992
Petrychkovych V. M. Parallel
factorizations of polynomial matrices. Ukrainian
Mathematical Journal 44 (9), 1123–1127,
(1992).
1991
Fedorchuk V.M., Fedorchuk I.M. and Leibov O.S. Reduction of the Born–Infeld, the Monge–Ampère and
the eikonal equation to linear equations. (Russian) //
Dokl. Akad. Nauk Ukrainy. – 1991,
N 11. – P. 24–26.
1990
Petrychkovych V. M. Semiscalar
equivalence and the factorization of polynomial matrices Ukrainian
Mathematical Journal. 42, (5),
570–574,
(1990).
1986
Petrychkovych V. M., Prokip
V.M. Factorization
of polynomial matrices over arbitrary fields. Ukrainian Mathematical Journal. 38, (4), 409–412, (1986).
1985
Fushchich
W.I., Barannik A.F., Barannik L.F.
and Fedorchuk V.M. Continuous subgroups of the
Poincaré group P(1,4) //
J. Phys. A: Math. Gen. – 1985. – 18,
N 14. – P. 2893–2899.
Petrychkovych V. M. Cell–triangular and cell–diagonal factorizations of cell–triangular and
cell–diagonal polynomial matrices. Mathematical
Notes. 37, 431–435,
(1985).
1984
Petrychkovych V. M. Linear
divisors and reducibility of polynomial matrices. Ukrainian
Mathematical Journal. 36, (2)
176–181, (1984).
1981
Fedorchuk
V.M. Nonsplitting subalgebras of the Lie algebra of the generalized
Poincaré group P(1,4). (Russian)
// Ukrain. Mat. Zh. – 1981. – 33, N 5. P. 696–700. English
translation: Ukrainian Math. J. 33 (1981), no. 5, 535–538 (1982).
Petrychkovych V. M. Problems of the
factorization of matrix polynomials. Mat.
Metody Fiz.–Mekh. Polya 14, 19–26,
(1981).
1980
Petrychkovych V. M. On the number of
solutions of a matrix equation. Mat. Metody Fiz.–Mekh. Polya 12, 56–58,
(1980).
1979
Fedorchuk V.M. Splitting subalgebras of the Lie algebra of the generalized Poincaré
group P(1,4) . (Russian) // Ukrain. Mat. Zh. –
1979. – 31, N 6. – P.
717–722. English translation: Ukrainian Math. J., 31 (1979),
no. 6, 554–558 (1980).
Petrychkovych V. M. Absolute
expansibility of matrix polynomials
Mat. Metody Fiz.–Mekh. Polya 9, 37–41,
(1979).
1978
Petrychkovych V. M., Kazimirs'
kii P. S. Decomposability of polynomial matrices into a
product of linear factors Mat. Met. Fiz.–Mekh. Polya. 8, 3
– 9, (1978).
1977
Petrychkovych V. M.,
Kazimirs' kii P. S. On the equivalence of polynomial matrices
Theoretical and Applied Problems of Algebra and
Differential Equations.
61 – 66, (1977).
List of Conference Proceedings:
1.
Nataliia
Ladzoryshyn, Vasyl' Petrychkovych. (z,k)-equivalence of matrices over quadratic
rings // The 15th Ukraine Algebraic Conference, July 8-12, 2025, Ivan Franko
National University of Lviv. Book of Abstract - P. 65. - [Electronic resource].
- Access mode: (https://xvuac.mmf.com.ua/images/pdf/abstracts.pdf )
2.
Nataliia
Ladzoryshyn, Vasyl' Petrychkovych, Halyna Zelisko. A Sylvester-type matrix
equation over some quadratic rings // XII International Skorobohatko
mathematical conference, September 23-25, 2025, Lviv, Ukraine. Abstracts: Lviv:
Pidstryhach Institute for Applied Problems of Mechanics and Mathematics, 2025.
- P. 52. - [Electronic resource]. - Access mode:
(http://www.iapmm.lviv.ua/conf_skorob2025/documents/2025tezy.pdf )
3.
Prokip
Volodymyr. On symmetric solutions of the matrix equation AX = B over a Bezout
domain // ²ííîâàö³éí³ öèôðîâ³ ìåòîäè â ãàëóç³ îñâ³òè òà äîñë³äæåíü. Çá³ðíèê òåç
äîïîâ³äåé. Áåðåãîâå, 27-28 áåðåçíÿ 2025
ðîêó. P.146-148.
4.
Prokip
V. On the uniqueness of solutions of a matrix equation AX - Y B = C over the
ring of integers // 15th Ukraine Algebra Conference, July 8-12, 2025, Lviv,
Ukraine. Book of Abstracts: Ivan Franko National University of Lviv, Ukraine. -
123 p. - P. 84. - https://xvuac.mmf.com.ua/index.php/abstracts
5.
Rostyslava
V. Kolyada, Orest M. Mel'nyk, Volodymyr M. Prokip On solutions of matrix
equation A(λ)X(λ)+Y(λ)B(λ)=C(λ)
// 15th Ukraine Algebra Conference, July
8-12, 2025, Lviv, Ukraine. Book of Abstracts: Ivan
Franko National University of Lviv, Ukraine. - 123 p. - P. 61. - https://xvuac.mmf.com.ua/index.php/abstracts
6.
Volodymyr
Prokip On solutions of the matrix equation AX + YB = C over Bezout domain //
Ukraine Mathematics Conference "At the End of the Year 2025,"
December 18-19, 2025, Taras Shevchenko National University of Kyiv, Kyiv,
Ukraine, Book of Abstracts. - 133 ñ. - P. 47. -
https://drive.google.com/file/d/1LGUD-of4DUq2LiKYbN233claruwbGIj4/view
7.
Fedir
Sokhatsky Quasigroups and loops up to order 5 // Conference Quasigroups and
Related Systems, Moldova State University. Book of abstracts. Chisninau, July
2-4, 2025. P. 41-45.
8.
Fedir
Sokhatsky, Bohdan Buniak Formulas for determining some quasigroups of order 8
// Conference Quasigroups and Related Systems, Moldova State University. Book
of abstracts. Chisninau, July 2-4, 2025. P. 45-47.
9.
Fedir
Sokhatsky, Bohdan Buniak About SA loops
of order 10 // International Conference Mathematics & Information
Technologies: Research And Education (MITRE-2025), Mathematical Week in
Chisinau dedicated to the centenary of Valentin Belousov (1925-1988),
Chisninau, 2025 Moldova. Abstracts. P.12
10. Fedir Sokhatsky, Bohdan Buniak Semisymmetric Anticommutative Loops up to
order 15 // 15th Ukraine Algebra Conference, July 8-12, 2025, Lviv, Ukraine.
Book of Abstracts: Ivan Franko National University of Lviv, Ukraine. - 123 p. -
P. 104. - https://xvuac.mmf.com.ua/index.php/abstracts
11. Fedir Sokhatsky, Halyna Krainichuk, Volodymyr Luzhetsky Canonical and
matrix figuration of quasigroups of order 4 // 15th Ukraine Algebra Conference,
July 8-12, 2025, Lviv, Ukraine. Book of Abstracts: Ivan Franko National University
of Lviv, Ukraine. - 123 p. - P. 105. - https://xvuac.mmf.com.ua/index.php/abstracts
12. Fedir Sokhatsky The simplest algorithm for listing all permutations //
Ukraine Mathematics Conference "At the End of the Year 2025,"
December 18–19, 2025, Taras Shevchenko National University of Kyiv, Kyiv,
Ukraine, Book of Abstracts. – 133 ñ. – P. 53. –
https://drive.google.com/file/d/1LGUD-of4DUq2LiKYbN233claruwbGIj4/view
13. Volodymyr Shchedryk Non-classical canonical form of matrices with
respect to one-sided transformations // Ukraine Mathematics Conference "At
the End of the Year 2025," December 18-19, 2025, Taras Shevchenko National
University of Kyiv, Kyiv, Ukraine, Book of Abstracts. - 133 ñ. - P. 52. - https://drive.google.com/file/d/1LGUD-of4DUq2LiKYbN233claruwbGIj4/view
14. Shchedryk V. General linear group
and idempotent matrices over a field // International scientific and practical
conference "Innovative Digital Methods in Education and Research",
Berehove, 27-28 March 2025, Book of Abstracts
P. 153.
15. Shchedryk V. Canonical form of
low-dimensional matrices with respect to one-sided transformations // The 15th
Ukraine Algebra Conference, L'viv, July 8-12, 2025, Book of Abstracts P. 100.
16. Bohdan Shavarovskii Oriented by characteristic roots polynomial matrices
of simple structure // 15th Ukraine Algebra Conference, July 8-12, 2025, Lviv,
Ukraine. Book of Abstracts: Ivan Franko National University of Lviv, Ukraine. -
123 p. - P. 99. - https://xvuac.mmf.com.ua/index.php/abstracts
17. Bohdan Shavarovskii Reduction of a matrix oriented by characteristic
roots to a form with given characteristics // XII International Skorobohatko
mathematical conference, September 23 - 25, 2025, Lviv, Ukraine. Abstracts:
Pidstryhach Institute for Applied Problems of Mechanics and Mathematics, Lviv,
2025. - 107 p. - P. 92. - http://www.iapmm.lviv.ua/conf_skorob2025/documents/2025tezy.pdf
18. Romaniv A. On reduction of invertible matrices to simple forms. // The
15th Ukraine Algebra
Conference, July 8–12, 2025, Lviv,
Ukraine. Book
of Abstracts. – Ivan
Franko National
University of Lviv, 2025.
– 123 p. (p. 90).
19. Romaniv A. On Bezout rings of stable range 1 // XII International
Skorobohatko Mathematical Conference September 23–25, 2025, Lviv, Ukraine.
Abstracts. – Pidstryhach Institute for Applied Problems of Mechanics and
Mathematics of NAS of Ukraine,
2025. – 107 p. (p. 84).
20. Volodymyr Fedorchuk On Symmetry Reduction of The (1 + 3)-Dimensional
Monge-Ampere Equation to Algebraic Equations // XII International Skorobohatko
mathematical conference, September 23 – 25, 2025, Lviv, Ukraine.
Abstracts: Pidstryhach Institute for Applied Problems of Mechanics and
Mathematics, Lviv, 2025. – 107 p. – P. 27. –
http://www.iapmm.lviv.ua/conf_skorob2025/documents/2025tezy.pdf
21. Volodymyr Fedorchuk, On partial preliminary group classification of some
class of (1+3)-dimensional Monge-Ampere equations. Three-dimensional Abelian
Lie algebras // International online workshop "Symmetry and Integrability
of Equations of Mathematical Physics", Kyiv, December 26, 2025,
https://www.imath.kiev.ua/~appmath/Abstracts2025/Fedorchuk.pdf
22. Nataliia Dzhaliuk, Vasyl’ Petrychkovych Methods for solving
Sylvester-type matrix equations and the investigation of the structure of their
solutions // 15th Ukraine Algebra Conference, July 8–12, 2025, Lviv, Ukraine.
Book of Abstracts: Ivan Franko National
University of Lviv, Ukraine. – 123
p. – P. 40. – https://xvuac.mmf.com.ua/index.php/abstracts
23. Nataliia Dzhaliuk, Vasyl’ Petrychkovych Polynomial matrices, their
factorizations and differential equations in investigations of Lopatyns’kii,
Kazimirs’kii and modern scientists // XII International Skorobohatko
mathematical conference, September 23 – 25, 2025, Lviv, Ukraine.
Abstracts: Pidstryhach Institute for Applied Problems of Mechanics and
Mathematics, Lviv, 2025. – 107 p. – P. 24–25. – http://www.iapmm.lviv.ua/conf_skorob2025/documents/2025tezy.pdf
24. Volodymyr Shchedryk Description of the low-dimensional general linear
group and idempotent matrices over a field // Ukraine Mathematics Conference
"At the End of the Year 2024," December 16–18, 2024, Taras Shevchenko
National University of Kyiv, Kyiv, Ukraine, Book of Abstracts. – 92 ñ. – P. 46.
– https://sites.google.com/knu.ua/aey2024/abstracts
25. Shchedryk V. A parametric description general linear group of degree 3
over a field// International conference dedicated to the 145th anniversary of
the birth of Hans Hahn, September 23–27, 2024, Chernivtsi. – Chernivtsi: Yuriy
Fedkovych Chernivtsi National University, 2024. – 184 p. – P. 172. –
https://hahn.chnu.edu.ua/media/odbldmui/book-of-abstracts.pdf
26. Nataliia Dzhaliuk, Vasyl’ Petrychkovych Solutions of a given degree for
the matrix linear bilateral polynomial equations // Ukraine Mathematics
Conference "At the End of the Year 2024," December 16–18, 2024, Taras
Shevchenko National University of Kyiv, Kyiv,
Ukraine, Book
of Abstracts. – 92 ñ. – P. 23. –
https://sites.google.com/knu.ua/aey2024/abstracts
27. Dzhaliuk Nataliia, Sylvester-type Matrix Polynomial Equations and
Solutions of a Prescribed Degree // 3rd International Symposium on Current
Developments in Fundamental and Applied Mathematics Sciences 02-05 September
2024, Istanbul, Turkey. Abstract and Full Text Symposium Book. ISBN
978-625-97879-0-9. – 290 p. – P. 109.
–https://atabulut.atauni.edu.tr/atabulut/index.php/s/bUAy5E7j1iZOfgX
28. Dzhaliuk Nataliia, Petrychkovych Vasyl' On uniqueness of Sylvester-type
matrix polynomial equation's solution // International conference dedicated to
the 145th anniversary of the birth of Hans Hahn, September 23–27, 2024,
Chernivtsi. – Chernivtsi: Yuriy
Fedkovych Chernivtsi
National University,
2024. – 184 p. – P. 126–127. –
https://hahn.chnu.edu.ua/media/odbldmui/book-of-abstracts.pdf
29. Andrii Romaniv Conditions for divisibility of common multiples of
matrices // Ukraine Mathematics Conference "At the End of the Year
2024," December 16–18, 2024, Taras Shevchenko National University of Kyiv,
Kyiv, Ukraine, Book of Abstracts. – 92 ñ.
– P. 43. – https://sites.google.com/knu.ua/aey2024/abstracts
30. Andrii Romaniv. The Structure of the Greatest Common Divisor of Matrices
Over Elementary Divisor Domains // 3rd International Symposium on Current
Developments in Fundamental and Applied Mathematics Sciences 02-05 September
2024, Istanbul, Turkey. Abstract and Full Text
Symposium Book. ISBN 978-625-97879-0-9. – 290 p. – P. 117. –https://atabulut.atauni.edu.tr/atabulut/index.php/s/bUAy5E7j1iZOfgX
31. Romaniv Andrii. Common multiples of third-order matrices over
commutative Bezout domains of stable rank 1.5. // International conference
dedicated to the 145th anniversary of the birth of Hans Hahn, September 23–27,
2024, Chernivtsi. – Chernivtsi: Yuriy
Fedkovych Chernivtsi
National University,
2024. – 184 p. – P. 93. –
https://hahn.chnu.edu.ua/media/odbldmui/book-of-abstracts.pdf (in Ukrainian)
32. Vasyl Fedorchuk, Volodymyr Fedorchuk. On the construction and
classification of the common invariant solutions for the (1 + 3)-dimensional
Euler-Lagrange-Born-Infeld and homogeneous Monge-Ampere equations //
International scientific online conference «Algebraic and geometric methods of
analysis», May 27-30, 2024, Odesa,
Ukraine. – P.
33–34.
https://imath.kiev.ua/~topology/conf/agma2024/abstracts/texts/fedorchuk/fedorchuk.pdf
33. Vasyl Fedorchuk, Volodymyr Fedorchuk, On the construction of the common
invariant solutions for some P(1,4)-invariant partial differential equations //
International conference dedicated to the 145th anniversary of the birth of
Hans Hahn, September 23–27, 2024, Chernivtsi. – Chernivtsi: Yuriy Fedkovych
Chernivtsi National
University, 2024. – 184
p. – P. 129. https://hahn.chnu.edu.ua/media/3cln1ko5/book-of-abstracts.pdf
34. Prokip V.M. About square roots of matrices over factorial domains //
International Scientific Conference Algebraic and Geometric Methods of
Analysis. Odesa, Ukraine May 27-30, 2024. Book of
Abstracts. P. 102–103.
35. Prokip V. On solvability of the matrix equation AX+YB=C over principal
ideal domains // V²I International scientific-practical conference
"Modeling, control and information technology" November 7-9 2024,
Rivne.– P. 264–267. https://doi.org/10.31713/MCIT.2024.081
36. Volodymyr M. Prokip Roth’s theorem and equivalence of matrices //
Ukraine Mathematics Conference "At the End of the Year 2024,"
December 16–18, 2024, Taras Shevchenko National University of Kyiv, Kyiv, Ukraine,
Book of Abstracts. – 92 ñ. – P. 41. – https://sites.google.com/knu.ua/aey2024/abstracts
37. Fedorchuk Vasyl, Fedorchuk Volodymyr. On Classification of Symmetry
Reductions for Some P(1,4)–Invariant Partial Differential Equations. Symmetry 2023
– The 4th International Conference on Symmetry (21 – 23 June, 2023, AXA
Convention Centre Barcelona,
Spain). Program
and Abstract Book, p.49.
https://symmetry2023.sciforum.net/events_files/766/customs/af8bdf95fc6ca8768ff2b5bbc213cf7f.pdf
38. Shchedryk V., Bovdi V. Adequacy
of nonsingular matrices over commutative principal ideal domains // Conference
UAE Math Day 2023: March 4th, 2023, Organized by Zayed
University, Dubai, UAE. – P.19.
39. Shchedryk V.P. Matrices and related Zelisko groups // Current problems
of Mechanics and Mathematics – 2023: Collection of Scientific Papers / Edited
by Roman M. Kushnir (Academician of NAS of Ukraine) and Volodymyr O. Pelykh
(Corresponding Member of NAS of Ukraine) [Published Online] // Pidstryhach
Institute for Applied Problems of Mechanics and Mathematics of NAS of Ukraine.
– 2023. – 454 p. – Access by the link:
http://iapmm.lviv.ua/mpmm2023/materials/proceedings.mpmm2023.pdf
P. 403–404. – http://iapmm.lviv.ua/mpmm2023/materials/ma10_12.pdf.
40. Shchedryk V. P. A parametric 2–decomposition of small order general
linear groups over fields // Ukraine Algebra Conference "At the End of the
Year 2023" December 26 27, 2023, Kyiv, Ukraine.
Book of abstracts: Kyiv, 2023.
41. Fedorchuk Vasyl, Fedorchuk Volodymyr. Classification of symmetry
reductions for some P(1,4)–invariant partial differential equations. // Int.
Scientific Conference “Current Problems of Mechanics and Mathematics – 2023”
(May 23–25, 2023, Lviv, Ukraine)
http://iapmm.lviv.ua/mpmm2023/materials/proceedings.mpmm2023.pdf, P. 376.
http://iapmm.lviv.ua/mpmm2023/materials/ma09_02.pdf
42. Fedorchuk Vasyl, Fedorchuk Volodymyr. On partial preliminary group
classification of some class of (1 + 3)–dimensional Monge–Ampere equations.
Two–dimensional Abelian Lie algebras // International Online Conference
Algebraic and geometric methods of analysis (May 29 June 31, 2023, Odesa–Kyiv, Ukraine)}
https://imath.kiev.ua/~topology/conf/agma2023/contents/abstracts/texts/fedorchuk/fedorchuk.pdf.
43. Dzhaliuk Nataliia, Petrychkovych Vasyl'. Solvability of matrix equation
AX=YB in the ring of block triangular matrices // Current problems of Mechanics
and Mathematics – 2023: Collection of Scientific Papers / Edited by Roman M.
Kushnir (Academician of NAS of Ukraine) and Volodymyr O. Pelykh (Corresponding
Member of NAS of Ukraine) [Published Online] // Pidstryhach Institute for
Applied Problems of Mechanics and Mathematics of NAS of Ukraine. – 2023. – 454
p. – Access by the link:
http://iapmm.lviv.ua/mpmm2023/materials/proceedings.mpmm2023.pdf P. 405–406. – http://iapmm.lviv.ua/mpmm2023/materials/ma10_13.pdf
(in Ukrainian)
44. Dzhaliuk Nataliia, Petrychkovych Vasyl'. The Sylvester matrix polynomial
equation and its solutions // 14th Ukraine Algebra Conference, July 3–7, 2023 Sumy, Ukraine.
Book of Abstracts: Sumy State Pedagogical
University named after A.S. Makarenko,
Sumy, Ukraine. – 150 p. – P. 54
45. Dzhaliuk Nataliia. Linear solutions to the bilateral matrix polynomial
equations // Materials of the international scientific conference dedicated to
the 55th anniversary of the Faculty of Mathematics and Informatics, September
28–30, 2023 – Chernivtsi: Chernivtsi
National University,
2023. – 369 p. – P. 47–48.
46. Dzhaliuk N. S. Solutions of degree s of matrix polyìàòðè÷íîãî
ïîëiíîìiàëüíîãî ðiâíÿííÿ Cèëüâåñòðà // XIX International Scientific Mykhailo
Kravchuk Conference, dedicated to the 125th anniversary of Igor Sikorsky Kyiv
Polytechnic Institute. Proceedings of Nineteenth International Scientific
Mykhailo Kravchuk Conference, October 11–12, 2023, Kyiv, Igor Sikorsky Kyiv
Polytechnic Institute.– P. 104–105. – https://matan.kpi.ua/en/kravchuk–conf–2023/
(in Ukrainian)
47. Ladzoryshyn Natalija, Petrychkovych Vasyl'. Equivalence of pairs of
matrices over thequadratic ring Z[√−2] // Current problems of
Mechanics and Mathematics – 2023: Collection of Scientific Papers / Edited by
Roman M. Kushnir (Academician of NAS of Ukraine)
and Volodymyr O. Pelykh (Corresponding Member of NAS of Ukraine) [Published Online] // Pidstryhach
Institute for Applied Problems of Mechanics and Mathematics of NAS of Ukraine.
– 2023. – 454 p. – Access by the link: http://iapmm.lviv.ua/mpmm2023/materials/proceedings.mpmm2023.pdf
P. 409−410. – http://iapmm.lviv.ua/mpmm2023/materials/ma10_15.pdf
(in Ukrainian)
48. Ladzoryshyn Natalija. (z,k)–equivalence of pairs of matrices over
imaginary Euclidean quadratic rings // 14th Ukraine Algebra Conference, July
3–7, 2023 Sumy, Ukraine. Book of Abstracts: Sumy State Pedagogical University
named after A.S. Makarenko, Sumy,
Ukraine. – 150
p. – P. 81.
49. Ladzoryshyn N.B., Petrychkovych V.Ì. (z,k)– equivalence of singular
matrices over quadratic Euclidean rings // XIX International Scientific
Mykhailo Kravchuk Conference, dedicated to the 125th anniversary of Igor
Sikorsky Kyiv Polytechnic Institute. Proceedings of Nineteenth International
Scientific Mykhailo Kravchuk Conference, October 11–12, 2023, Kyiv, Igor
Sikorsky Kyiv Polytechnic Institute.– P. 111 − 112. –
https://matan.kpi.ua/uk/kravchuk–conf–2023/ (in Ukrainian)
50. Romaniv Andriy Decomposition
of an invertible matrix in the product of two matrices with given properties //
Current problems of Mechanics and Mathematics – 2023: Collection of Scientific
Papers / Edited by Roman M. Kushnir (Academician of NAS of Ukraine) and Volodymyr O. Pelykh (Corresponding
Member of NAS of Ukraine)
[Published Online] // Pidstryhach Institute for Applied Problems of Mechanics
and Mathematics of NAS of Ukraine.
– 2023. – 454 p. – Access by the link:
http://iapmm.lviv.ua/mpmm2023/materials/proceedings.mpmm2023.pdf
P. 413–414. – http://iapmm.lviv.ua/mpmm2023/materials/ma10_17.pdf . (in
Ukrainian)
51. Romaniv A. Conditions of existence of a matrix which contains a
submatrix with given invariant factors// 14th Ukraine Algebra Conference, July
3–7, 2023 Sumy, Ukraine. Book of Abstracts: Sumy State Pedagogical University
named after A.S. Makarenko, Sumy,
Ukraine. – 150
p. – P. 116.
52. Romaniv A. Ì. Property of invertible matrix // XIX International
Scientific Mykhailo Kravchuk Conference, dedicated to the 125th anniversary of
Igor Sikorsky Kyiv Polytechnic Institute. Proceedings of Nineteenth
International Scientific Mykhailo Kravchuk Conference, October 11–12, 2023,
Kyiv, Igor Sikorsky Kyiv Polytechnic Institute.– P. 120. –
https://matan.kpi.ua/uk/kravchuk–conf–2023/. (in Ukrainian)
53. Shavarovskii Bohdan. A complete system of invariants with respect to
semi–scalar equivalence for a 3õ3–matrix
of a simple structure // Current problems of Mechanics and Mathematics – 2023:
Collection of Scientific Papers / Edited by Roman M. Kushnir (Academician of
NAS of Ukraine) and
Volodymyr O. Pelykh (Corresponding Member of NAS of Ukraine)
[Published Online] // Pidstryhach Institute for Applied Problems of Mechanics
and Mathematics of NAS of Ukraine.
– 2023. – 454 p. – Access by the link:
http://iapmm.lviv.ua/mpmm2023/materials/proceedings.mpmm2023.pdf
P. 397–398. – http://iapmm.lviv.ua/mpmm2023/materials/ma10_08.pdf
54. Shavarovskii Bohdan.The triangular form of the polynomial 3 ×
3–matrix of a simple structure and its invariants with respect to semiscalar
equivalence // 14th Ukraine Algebra Conference, July 3–7, 2023 Sumy, Ukraine.
Book of Abstracts: Sumy State Pedagogical
University named after A.S. Makarenko,
Sumy, Ukraine. – 150 p. – P. 123.
55. Prokip V., Melnyk O.,
Kolyada R. On divisibility of polynomial
matrices over a field // Current problems of Mechanics and Mathematics – 2023:
Collection of Scientific Papers / Edited by Roman M. Kushnir (Academician of
NAS of Ukraine) and
Volodymyr O. Pelykh (Corresponding Member of NAS of Ukraine)
[Published Online] // Pidstryhach Institute for Applied Problems of Mechanics
and Mathematics of NAS of Ukraine.
– 2023. – 454 p. – Access by the link:
http://iapmm.lviv.ua/mpmm2023/materials/proceedings.mpmm2023.pdf
P. 389–390. – http://iapmm.lviv.ua/mpmm2023/materials/ma10_04.pdf
56. Prokip V. On canonical form of matrices with minimal polynomial
m(λ)=(λ–α)2. // 14th Ukraine
Algebra Conference, July 3–7, 2023 Sumy,
Ukraine. Book
of Abstracts: Sumy State Pedagogical
University named after A.S. Makarenko,
Sumy, Ukraine. – 150 p. – P.109.
57. Prokip V.M. On equivalence of polynomial matrices over a field //
Ukraine Mathematics Conference "At the End of the Year 2023,"
December 26–27, 2023, Taras Shevchenko National University of Kyiv, Institute
of Mathematics of NAS of Ukraine, Kyiv, Ukraine, Book of Abstracts. – 61 p. –
P. 46. https://sites.google.com/view/aey2023/abstracts
58. Vasyl Fedorchuk, Volodymyr Fedorchuk. On symmetry reduction of the
(1+3)–dimensional Inhomogeneous Monge–Ampère equation to algebraic
equation. The XVI–th International Conference of Differential Geometry and
Dynamical Systems ( DGDS–2022 ), (1 – 4 September 2022) * ONLINE * [Bucharest, Romania].
The booklet of abstracts. p. 10. \\
http://www.mathem.pub.ro/dept/dgds–22/dgds–22.htm
59. Ladzoryshyn N. On the number of standard pairs of pairs of matrices over
the ring of Gaussian integers with respect to (z,k)–equivalence // Conference
of young Scientists “Pidstryhach reading – 2022”. – L’viv, Ukraine May 25–27, 2022, L’viv. –
[Electronic resource]. – Access mode:
(http://www.iapmm.lviv.ua/chyt2022/abstracts/Ladzoryshyn.pdf).
60. Romaniv A. On property of invariant factors of the matrix and its
submatrix // Conference of young Scientists “Pidstryhach reading – 2022”. –
L’viv, Ukraine
May 25–27, 2022, L’viv. – [Electronic resource]. – Access mode:
(http://www.iapmm.lviv.ua/chyt2022/abstracts/Romaniv.pdf).
61. Prokip V.M. About solvability of the matrix equation AX= B over Bezout
domains // In International Scientific Conference Algebraic and Geometric
Methods of Analysis. Odesa,
Ukraine May
24–27, 2022. P. 39–40.
62. Prokip V.M. A note on a minimal solution of the matrix polynomial equation
A(λ)X(λ)–Y(λ)B(λ)=C(λ) // International Algebraic
Conference "At the End of the Year" 2022, December 27–28, 2022, Kyiv, Ukraine,
Abstracts: Taras Shevchenko National University of Kyiv, Kyiv, Ukraine.
– 73 p. – P. 43
63. Fedorchuk Vasyl, Fedorchuk Volodymyr. On patrial preliminary group
classification of some class of (1+3)–dimensional Monge–Ampere equations.
One–dimensional Galilean Lie algebras // International Scientific Conference
"Algebraic and Geometric Methods of Analysis" Odesa, Ukraine
May 24–27, 2022.
http://imath.kiev.ua/~topology/conf/agma2022/contents/abstracts/texts/fedorchuk/fedorchuk.pdf
– P. 16–17.
64. Fedorchuk Vasyl, Fedorchuk Volodymyr. On patrial preliminary group
classification of some class of (1+3)–dimensional Monge–Ampere equations. I.
One–dimensional Lie algebras // Workshop "Symmetry and Integrability of
Equations of Mathematical Physics" December 23–24, 2022, Kyiv, Ukraine.
http://www.imath.kiev.ua/~appmath/Abstracts2022/Fedorchuk.pdf
65. Bovdi V., Shchedryk V. The structure of the Zelisko group elements over
factor ring of Bezout domain of stable range 1.5. // The 13th International
Algebraic Conference in Ukraine.
July 6–9, 2021, Taras
Shevchenko National
University of Kyiv. Book
of Abstracts: Taras Shevchenko National
University of Kyiv, Kyiv, Ukraine.
– 94 p. – [Electronic resource]. – Access
mode: https://bit.ly/3hcTbKe
– P. 25.
66. Petrychkovych V.M., Dzhaliuk N.S. Application of special triangular
forms of matrices with respect to equivalences of different types to solving
linear matrix equations of Sylvester type // International Algebraic Conference
"At the End of the Year" 2021, December 27–28, 2021, Kyiv, Ukraine,
Abstracts: Kyiv. – 36 p. – P. 20.
67. Dzhaliuk N., Petrychkovych V. Solutions of matrix linear Sylvester type
equations // International Conference in Complex and Functional Analysis
dedicated to the memory of Bohdan Vynnytskyi. September 13–16, 2021, Drohobych, Ukraine.
Book of Abstracts: Drohobych State Pedagogical University
of Ivan Franko, Drohobych, Ukraine.
– 67 p. – P. 15.
68. Nataliia Dzhaliuk, Vasyl' Petrychkovych Block matrices, their
equivalences and applications // The 13th International Algebraic Conference in
Ukraine.
July 6–9, 2021, Taras
Shevchenko National
University of Kyiv. Book
of Abstracts: Taras Shevchenko National
University of Kyiv, Kyiv, Ukraine.
– 94 p. – [Electronic resource]. – Access
mode: https://bit.ly/3hcTbKe – P. 34.
69. Natalija Ladzoryshyn, Vasyl' Petrychkovych. On the number of standard
forms of matrices over imaginary Euclidean quadratic rings with respect to the
(z,k)–equivalence // The 13th International Algebraic Conference in Ukraine.
July 6–9, 2021, Taras
Shevchenko National
University of Kyiv. Book
of Abstracts: Taras Shevchenko National
University of Kyiv, Kyiv, Ukraine.
– 94 p. – [Electronic resource]. – Access
mode: https://bit.ly/3hcTbKe – P. 45.
70. Romaniv A. Divisibility of invariant factors of two matrices and
invariant factors of sum of these matrices // The 13th International Algebraic
Conference in Ukraine.
July 6–9, 2021, Taras
Shevchenko National
University of Kyiv. Book
of Abstracts: Taras Shevchenko National
University of Kyiv, Kyiv, Ukraine.
– 94 p. – [Electronic resource]. – Access
mode: https://bit.ly/3hcTbKe – P. 66.
71. Vasyl Fedorchuk, Volodymyr Fedorchuk. On symmetry reduction and some
classes of invariant solutions of the (1 + 3)–dimensional homogeneous
Monge–Ampère equation. // International On line Conference Algebraic and
Geometric Methods of Analysis dedicate to the memory of Yuriy Trokhymchuk
(17.03.1928–18.12.2019) (May 25–28, 2021, Odesa, Ukraine). Book of Abstracts.
p.36 https://www.imath.kiev.ua/~topology/conf/agma2021/contents/agma2021–abstracts.pdf
72. Vasyl Fedorchuk, Volodymyr Fedorchuk. On symmetry reduction and some
classes of invariant solutions of the (1+3)–dimensional inhomogeneous
Monge–Ampère equation. // The XV–th International Conference of Differential
Geometry and Dynamical Systems (DGDS–2021)
26 – 29 August 2021 * ONLINE * [Bucharest,
Romania]. The
booklet of abstracts. p.5 http://www.mathem.pub.ro/dept/dgds–21/dgds–21.htm
73. Shavarovskii Bohdan Semiscalar equivalence of polynomial 3–by–3 matrices
of simple structure // The 13th International Algebraic Conference in Ukraine.
July 6–9, 2021, Taras
Shevchenko National
University of Kyiv. Book
of Abstracts: Taras Shevchenko National
University of Kyiv, Kyiv, Ukraine.
– 94 p. – [Electronic resource]. – Access
mode: https://bit.ly/3hcTbKe
– P. 75.
74. Prokip V. Roth's theorems and similarity of matrices // The 13th
International Algebraic Conference in Ukraine. July 6–9, 2021, Taras Shevchenko
National University
of Kyiv. Book of Abstracts: Taras Shevchenko National
University of Kyiv, Kyiv, Ukraine.
– 94 p. – [Electronic resource]. – Access
mode: https://bit.ly/3hcTbKe
– P. 90.
75. Prokip V. On the matrix equation AX – YB=C over Bezout domains //
International Online Conference Algebraic and Geometric Methods of Analysis
dedicate to the memory of Yuriy Trokhymchuk (17.03.1928–18.12.2019) (May 25–28,
2021, Odesa, Ukraine). Book of Abstracts. – 172
p. − P. 122. − https://www.imath.kiev.ua/~topology/conf/agma2021/contents/agma2021–abstracts.pdf.
76. Prokip V.M. On solutions of the matrix equation // International Algebraic Conference "At
the End of the Year" 2021, December 27–28, 2021, Kyiv,
Ukraine, Abstracts: Taras
Shevchenko National University of Kyiv, Kyiv,
Ukraine. – 35
p. – P. 21.
77. Shchedryk V., Gatalevych A. On adequacy of full matrices over adequate
rings // XI International Skorobohatko Mathematical Conference. October 26−30,
2020, Lviv, Ukraine. Abstracts: Lviv:
Pidstryhach Institute for Applied Problems of Mechanics and Mathematics, 2020.
– 130 p. – [Electronic resource]. – Access mode: http://www.iapmm.lviv.ua/conf_skorob2020/documents/2020tezy.pdf
– P. 35.
78. Andriy Romaniv Divisibility of invariant factors of a matrix and its
submatrix // XI International Skorobohatko
Mathematical Conference. October 26−30, 2020, Lviv, Ukraine.
Abstracts: Lviv: Pidstryhach Institute for Applied Problems of Mechanics and
Mathematics, 2020. – 130 p. – [Electronic resource]. – Access
mode:
http://www.iapmm.lviv.ua/conf_skorob2020/documents/2020tezy.pdf – P.100.
79. Bohdan Shavarovskii. Canonical form of a reduced matrix with all
non–zero sub–diagonal elements // XI
International Skorobohatko Mathematical Conference. October 26−30, 2020, Lviv, Ukraine.
Abstracts: Lviv: Pidstryhach Institute for Applied Problems of Mechanics and
Mathematics, 2020. – 130 p. – [Electronic resource]. – Access
mode:
http://www.iapmm.lviv.ua/conf_skorob2020/documents/2020tezy.pdf – P.
106.
80. Prokip V. A note on semiscalar
equivalence of polynomial matrices // XI International Skorobohatko
Mathematical Conference. October 26−30, 2020, Lviv, Ukraine.
Abstracts: Lviv: Pidstryhach Institute for Applied Problems of Mechanics and
Mathematics, 2020. – 130 p. –
[Electronic resource]. – Access mode: http://www.iapmm.lviv.ua/conf_skorob2020/documents/2020tezy.pdf
– P. 93.
81. Ladzoryshyn N., Petrychkovych V. The standard form of matrices over
imaginary Euclidean quadratic rings with respect to (z,k)–equivalence // XI
International Skorobohatko Mathematical Conference. October 26−30, 2020, Lviv, Ukraine.
Abstracts: Lviv: Pidstryhach Institute for Applied Problems of Mechanics and
Mathematics, 2020. – 130 p. – [Electronic resource]. – Access mode:
http://www.iapmm.lviv.ua/conf_skorob2020/documents/2020tezy.pdf – P.
59.
82. Vasyl Fedorchuk, Volodymyr Fedorchuk. On symmetry reduction and some
classes of invariant solutions of the (1+3)–dimensional Monge–Ampère
equation. The XIV–th International Conference of Differential Geometry and
Dynamical Systems ( DGDS–2020 ) 27 –29 August 2020 * ONLINE * [Bucharest, Romania].
List of abstracts, p.2. http://www.mathem.pub.ro/dept/dgds–20/dgds–20.htm
83. Vasyl Fedorchuk, Volodymyr Fedorchuk. On Classification of Symmetry
Reductions for Some P(1,4)–Invariant Partial Differential Equations. XI
International Skorobohatko Mathematical Conference (October 26–30, 2020, Lviv, Ukraine).
Book of Abstracts. p.31. http://www.iapmm.lviv.ua/conf_skorob2020/documents/2020tezy.pdf
84. Volodymyr Fedorchuk. On Symmetry Reduction and Invariant Solutions of
the Euler–Lagrange–Born–Infeld Equation. XI International Skorobohatko
Mathematical Conference (October 26–30, 2020, Lviv, Ukraine).
Book of Abstracts. p.32.
http://www.iapmm.lviv.ua/conf_skorob2020/documents/2020tezy.pdf
85. Bilous A. Stable range of some classes of non commutative rings // XI
International Skorobohatko Mathematical Conference. October 26−30, 2020, Lviv, Ukraine.
Abstracts: Lviv: Pidstryhach Institute for Applied Problems of Mechanics and
Mathematics, 2020. – 130 p. – . – [Electronic resource]. – Access mode:
http://www.iapmm.lviv.ua/conf_skorob2020/documents/2020tezy.pdf – P. 15.
86. Nataliia Dzhaliuk Equivalence of matrices in the ring of the block
triangular matrices // XI International Skorobohatko Mathematical Conference.
October 26−30, 2020, Lviv,
Ukraine.
Abstracts: Lviv: Pidstryhach Institute for Applied Problems of Mechanics and
Mathematics, 2020. – 130 p. – [Electronic resource]. – Access mode:
http://www.iapmm.lviv.ua/conf_skorob2020/documents/2020tezy.pdf – P. 29.
87. Bovdi V., Shchedryk V.P. The
structure of elements of the Zelisko group // Book of abstracts of the
International mathematical conference dedicated to the 60th anniversary of the
department of algebra and mathematical logic of Taras Shevchenko National
University of Kyiv, 14–17 July 2020, Kyiv, Ukraine. – 93 p. – [Electronic
resource]. – Access mode: https://bit.ly/2ZIyqMs
– P. 27.
88. V. M. Fedorchuk,
V. I. Fedorchuk On some applications of
classication of low–dimensional Lie algebras // Book of abstracts of the
International mathematical conference dedicated to the 60th anniversary of the department
of algebra and mathematical logic of Taras Shevchenko National University of
Kyiv, 14–17 July 2020, Kyiv, Ukraine. – 93 p. – [Electronic resource]. – Access
mode: https://bit.ly/2ZIyqMs –
P. 34.
89. Prokip V.M. On similarity of families of 2x2 matrices over a field //
Book of abstracts of the International mathematical conference dedicated to the
60th anniversary of the department of algebra and mathematical logic of Taras
Shevchenko National University of Kyiv, 14–17 July 2020, Kyiv, Ukraine. – 93 p.
– [Electronic resource]. – Access mode: https://bit.ly/2ZIyqMs
– P. 68.
90. Shavarovskii B.Z. Canonical form of a reduced matrix with one zero
sub–diagonal element // Book of abstracts of the International mathematical
conference dedicated to the 60th anniversary of the department of algebra and
mathematical logic of Taras Shevchenko National University of Kyiv, 14–17 July
2020, Kyiv, Ukraine. – 93 p. – [Electronic resource]. – Access mode: https://bit.ly/2ZIyqMs – P. 74.
91. Petrychkovych V.M., Dzhaliuk N.S. Solvability of the matrix
Sylvester–type equation in the ring of the block triangular matrices // Book of
abstracts of the International mathematical conference dedicated to the 60th
anniversary of the department of algebra and mathematical logic of Taras
Shevchenko National University of Kyiv, 14–17 July 2020, Kyiv, Ukraine. – 93 p.
– [Electronic resource]. – Access mode: https://bit.ly/2ZIyqMs
– P. 63.
92. Romaniv A. M. Properties of the invariant factors of the sum of matrices
// Book of abstracts of the International mathematical conference dedicated to
the 60th anniversary of the department of algebra and mathematical logic of
Taras Shevchenko National University of Kyiv, 14–17 July 2020, Kyiv, Ukraine. –
93 p. – [Electronic resource]. – Access mode: https://bit.ly/2ZIyqMs– P. 71.
93. Bilous A. Stable range of some classes of non commutative rings //
Conference of young Scientists “Pidstryhach reading – 2020”. – L’viv, Ukraine
May 26–28, 2020, L’viv. – [Electronic resource]. – Access mode: (http://www.iapmm.lviv.ua/chyt2020/abstracts/Bilous.pdf).
94. Ladzoryshyn N. (z,k)–equivalence of matrices over the ring of Gaussian
integers // Conference of young Scientists “Pidstryhach reading – 2020”. –
L’viv, Ukraine
May 26–28, 2020, L’viv. – [Electronic resource]. – Access mode: (http://www.iapmm.lviv.ua/chyt2020/abstracts/Ladzoryshyn.pdf).
95. Romaniv A.M., Dzhaliuk
N.S. Some connections between
invariant factors of matrix and its submatrix // International Scientific
Conference Algebraic and Geometric Methods of Analysis, 26–30 may 2020, Odesa, Ukraine.
– 131 p. – Access mode: https://www.imath.kiev.ua/~topology/conf/agma2020/agma–2020–abstracts/agma2020–theses.pdf
– P. 57.
96. Prokip V. On similarity of two families of matrices over a field // International Scientific Conference
Algebraic and Geometric Methods of Analysis, 26–30 may 2020, Odesa, Ukraine.
– 131 p. – Access mode: https://www.imath.kiev.ua/~topology/conf/agma2020/agma–2020–abstracts/agma2020–theses.pdf
– P. 55.
97. Prokip V.Ì. On the square roots of
matrices over the domain of principal ideals // PSC–IMFS–16, 06–07 February
2020, L’viv, Ukraine, Ñ.65–66. (in Ukrainian)
98. Shavarovskii B.Z. Semiscalar equivalence of one class of 3–by–3 matrices
// XII International Algebraic Conference in Ukraine dedicated to the 215th
anniversary of V. Bunyakovsky, July 02–06, 2019, Vinnytsia, Ukraine. – 142 p. –
P. 101–102.
99. Shchedryk V. On great common divisors and least common multiple of
matrix equation solutions // XII International Algebraic Conference in Ukraine
dedicated to the 215th anniversary of V. Bunyakovsky, July 2–6, 2019,Vinnytsia,
Ukraine. Abstracts. – Vinnytsia:Vasyl’ Stus Donetsk
University, 2019. – 142
p. – P. 102.
100.
Nataliia
Dzhaliuk. Solutions of the Sylvester matrix equation with triangular
coefficients // The XII International Algebraic Conference in Ukraine dedicated to the 215th
anniversary of V.Bunyakovsky. July 02–06, 2019, Vinnytsia, Ukraine.
Abstracts/ Vinnytsia: Vasyl' Stus
Donetsk National
University, 2019. – 142
p. – P. 28–29. http://jiac.donnu.edu.ua/article/view/6933/6964
101.
Ladzoryshyn
N., Petrychkovych V. (z,k)–equivalence of matrices over Euclidean quadratic rings
and solutions of matrix equation AX+YB=C // Book of abstracts of the XII
International Algebraic Conference in Ukraine dedicated to the 215th
anniversary of V. Bunyakovsky, July 02 –
06, 2019, Vinnytsia, 2019. – P. 63–64.
102.
Ladzoryshyn
N. Solutions of the matrix equation AX+BY=C over Euclidean quadratic rings //
Conference of young Scientists “Pidstryhach reading – 2019”.– Lviv, Ukraine,
May 27–29, 2019, Lviv. – [Electronic resource]. – Access mode:
(http://iapmm.lviv.ua/chyt2019/abstracts/Ladzoryshyn.pdf).
103.
Prokip
V. On similarity of tuples of matrices over a field // XII International
Algebraic Conference in Ukraine dedicated to the 215th anniversary of V.
Bunyakovsky, July 2–6, 2019,Vinnytsia, Ukraine. Abstracts. – Vinnytsia:Vasyl’ Stus Donetsk
University, 2019. – 142
p. – P. 90–91.
104.
Romaniv
A. Reduction of nonsingular matrices over rings of almost stable range 1 // XII
International Algebraic Conference in Ukraine dedicated to the 215th
anniversary of V. Bunyakovsky, July 2–6, 2019,Vinnytsia, Ukraine. Abstracts. –
Vinnytsia:Vasyl’ Stus
Donetsk University,
2019. – 142 p. – P. 93–94.
105.
Romaniv
A. An element with almost stable range 1 over a commutative elementary divisor
domain // Conference of young Scientists “Pidstryhach reading – 2019”. – L’viv,
Ukraine
May 27–29, 2019, L’viv. – [Electronic resource]. – Access mode: (http://www.iapmm.lviv.ua/chyt2019/abstracts/Romaniv.pdf).
106.
V.
M. Fedorchuk and V. I. Fedorchuk. On
classification of symmetry reductions and invariant solutions for the
Euler–Lagrange–Born–Infeld equation. Book of Abstracts. Kiev, Bogolyubov
Institute for Theoretical Physics of NAS of Ukraine, 2019, P.10. https://indico.bitp.kiev.ua/event/3/attachments/1/83/abstr_bgl_2019.pdf
107.
Bilous
A. Diagonability of idempotent matrices over APT ring // Conference of young
Scientists “Pidstryhach reading – 2019”. – L’viv, Ukraine May 27–29, 2019, L’viv. –
[Electronic resource]. – Access mode: (http://iapmm.lviv.ua/chyt2019/abstracts/Bilous.pdf).
108.
Bilous
A. Diagonability
of idempotent matrices over duo rings
// The XII International Algebraic Conference in Ukraine
dedicated to the 215th anniversary of V.Bunyakovsky. July 02–06, 2019, Vinnytsia, Ukraine.
Abstracts/ Vinnytsia: Vasyl' Stus
Donetsk National
University, 2019. – 142
p. – P. 17–18. http://jiac.donnu.edu.ua/article/view/6920/6951.
109.
Prokip V.Ì.
Algorithm for constructing a monic divisor for a polynomial matrix // International Conference
“Algebraic and geometric methods of analysis”, Odesa, Ukraine. −
2019. − P. 68 − 69.
110.
Dzhaliuk N.S.,
Petrychkovych V.M. Triangular solutions of matrix equation AX+YB=C // Modern
problems of Mechanics and Mathematics: collection of scientific papers in 3
vol. / Edited by A.Ì. Samoilenko, R.M. Kushnir [Electronic resource] //
Pidstryhach Institute for Applied Problems of Mechanics and Mathematics NAS of
Ukraine. – 2018. – Vol. 3. – Access mode: www.iapmm.lviv.ua/mpmm2018.
P. 197–198. (in Ukrainian)
111.
Kuz
A. M., Romaniv A. M., Symotiuk M. M. An analogue of an integral problem for
equations with partial derivatives over a field of p–adic numbers // Nonlinear
analysis problems: VI All–Ukrainian mat. conf. the name of B.V. Vasilishin:
Abstract (26–28 september 2018ð., Ivano–Frankivsk – Mykulychyn). –
Ivano–Frankivsk: 2018. – P. 30.
112.
Ladzoryshyn
N. The solvability of Diophantine equations over quadratic rings // Modern
problems of Mechanics and Mathematics: collection of scientific papers in 3
vol. / Edited by A.Ì. Samoilenko, R.M. Kushnir [Electronic resource] //
Pidstryhach Institute for Applied Problems of Mechanics and Mathematics NAS of
Ukraine. – 2018. – Vol. 3. – Access mode:
(http://www.iapmm.lviv.ua/mpmm2018/Volume_3.pdf). P. 217–218.
113.
Romaniv
A.M. On the relationship between the Smith normal forms of matrices and of
their least common multiple // Book of abstracts of the International
Scientific Conference “Algebraic and geometric methods of analysis” (May 30 –
June 4, 2018, Odesa, Ukraine). P.53. [Electronic
resource]. – Access mode: (http://www.imath.kiev.ua/~topology/conf/agma2018)
114.
Romaniv
A., Shchedryk V. On stable range of matrix rings over commutative principal
ideal rings // Modern problems of Mechanics and Mathematics: collection of
scientific papers in 3 vol. / Edited by A.Ì. Samoilenko, R.M. Kushnir
[Electronic resource] // Pidstryhach Institute for Applied Problems of
Mechanics and Mathematics NAS of Ukraine. – 2018. – Vol. 3. – Access mode:
www.iapmm.lviv.ua/mpmm2018. P. 241–242.
115.
Shavarovskii
B. Improved triangular form of the 3–by–3–matrices with one characteristic root
in the class of semiscalarly equivalent // Modern problems of Mechanics and
Mathematics: collection of scientific papers in 3 vol. / Edited by A.Ì.
Samoilenko, R.M. Kushnir [Electronic resource] // Pidstryhach Institute for
Applied Problems of Mechanics and Mathematics NAS of Ukraine. – 2018. – Vol. 3.
– Access mode: www.iapmm.lviv.ua/mpmm2018. P. 241–242.
116.
Volodymyr
Fedorchuk, On some invariant solutions for the Euler–Lagrange–Born–Infeld
equation // Symmetry and Integrability of Equations of Mathematical Physics,
International workshop on the occasion of the fortieth anniversary of the
Department of Applied Research (nowadays the Department of Mathematical
Physics) (December 21–24, 2018, Kyiv, Institute of Mathematics
of NAS of Ukraine).
https://www.imath.kiev.ua/~appmath/Abstracts2018/FedorchukV.html.
117.
Vasyl Fedorchuk, On Symmetry
Reduction of Some Partial Differential Equations. // Modern problems of
Mechanics and Mathematics: collection of scientific papers in 3 vol. / Edited
by A.Ì. Samoilenko, R.M. Kushnir [Electronic resource] // Pidstryhach Institute
for Applied Problems of Mechanics and Mathematics NAS of Ukraine. – 2018. –
Vol. 3. – Access mode: www.iapmm.lviv.ua/mpmm2018. P. 187.
118.
Volodymyr
Fedorchuk, On Symmetry Reduction of the Eikonal Equation. // Modern problems of
Mechanics and Mathematics: collection of scientific papers in 3 vol. / Edited
by A.Ì. Samoilenko, R.M. Kushnir [Electronic resource] // Pidstryhach Institute
for Applied Problems of Mechanics and Mathematics NAS of Ukraine. – 2018. –
Vol. 3. – Access mode: www.iapmm.lviv.ua/mpmm2018. P. 188.
119.
Fedorchuk
Vasyl, On symmetry reduction and invariant solutions of some partial
differential equations. The 32nd International Colloquium on Group Theoretical
Methods in Physics (Group32) (9–13 July 2018, Czech
Technical University
in Prague, Czech Republic). Book of Abstracts.
– p. 23., http://kmlinux.fjfi.cvut.cz/~burdices/Group32/new–booklet.pdf
120.
Vasyl
Fedorchuk, Volodymyr Fedorchuk, On classification of some non–singular
manifolds in the space M(1,3)xR(u) and symmetry reduction of the eikonal
equation. The XII–th International Conference of Differential Geometry and
Dynamical Systems (DGDS–2018) (30 August – 2 September 2018, the Callatis High–School
in the city Mangalia – Romania).
Abstracts. – p. 1., http://www.mathem.pub.ro/dept/dgds–18/dgds–18.htm
121.
Fedorchuk
V.M.,
Fedorchuk V.I. On
symmetry reduction of some partial differential equations.
VI All–Ukrainian B.V. Vasylyshyn
mathematical conference "Nonlinear
problems of analysis" (26–28 september
2018, Ivano–Frankivsk –
Mykulychyn).
Book of Abstracts. Ivano–Frankivsk, Vasyl Stefanyk Precarpathian
National University,
2018. – p.
63.
122.
Fedorchuk
V.². On
symmetry reduction and invariant solutions of the eikonal equation.
VI All–Ukrainian B.V. Vasylyshyn
mathematical conference "Nonlinear
problems of analysis" (26–28 september
2018, Ivano–Frankivsk –
Mykulychyn).
Book of Abstracts. Ivano–Frankivsk, Vasyl Stefanyk Precarpathian
National University,
2018. – c.
64.
123.
Vasyl
Fedorchuk, Volodymyr Fedorchuk, On classification of symmetry reductions for
the Euler–Lagrange–Born–Infeld equation // Symmetry and Integrability of
Equations of Mathematical Physics, International workshop on the occasion of
the fortieth anniversary of the Department of Applied Research (nowadays the
Department of Mathematical Physics) (December 21–24, 2018, Kyiv, Institute of
Mathematics of NAS of Ukraine). https://www.imath.kiev.ua/~appmath/Abstracts2018/Fedorchuk.html.
124.
Vasyl
Fedorchuk, and Volodymyr Fedorchuk, On Classification of Symmetry Reductions
for Partial Differential Equations www.mdpi.com/2504–3900/2/1/85; Proceedings
2018, 2(1), 85; https://doi.org/10.3390/proceedings2010085
125.
Prokip
Volodymyr On the similarity of matrices AB and BA // Modern problems of
Mechanics and Mathematics: collection of scientific papers in 3 vol. / Edited
by A.Ì. Samoilenko, R.M. Kushnir [Electronic resource] // Pidstryhach Institute
for Applied Problems of Mechanics and Mathematics NAS of Ukraine. – 2018. –
Vol. 3. – Access mode: www.iapmm.lviv.ua/mpmm2018. P. 260–261.
126.
Prokip
V.M. About a structure of solutions of the matrix equation AX – XB = C.
Materials of reports International sciences Conferences "Modern problems
of mathematical modeling, computational methods and information
technologies", Rivne ,
2018. P.138–139.
127.
V.M.
Prokip A note on similarity of matrices // // Book of abstracts of the
International Scientific Conference “Algebraic and geometric methods of
analysis” (May 30 – June 4, 2018, Odesa,
Ukraine). P.
49. [Electronic resource]. – Access mode:
(http://www.imath.kiev.ua/~topology/conf/agma2018)
128.
Petrychkovych
Vasyl', Dzhaliuk Nataliia Factorizations in the matrix ring and its subrings of
the block matrices // The Fourth Conference of Mathematical Society of the Republic of Moldova: dedicated to the centenary of
Vladimir Andrunachievici (1917–1997): Proceedings CMSM 4, June 28 – July 2,
2017 Chisinau / ed.: Mitrofan Choban [et al.]. Chisinau: Institute of Mathematics
and Computer science, 2017 (CEP USM). P.143–146.
129.
Petrychkovych
V.M., Dzhaliuk N.S. A bound on degrees of solutions of the matrix linear
bilateral polynomial equation // Book of abstracts of the XI International
Algebraic Conference in Ukraine
dedicated to the 75th anniversary of V.V.Kirichenko (July, 2017, Kyiv, Ukraine).
P.99.
130.
Romaniv
A.M. The Smith normal form of the lest common multiples of one class of
matrices // Book of abstracts of the XI International Algebraic Conference in Ukraine dedicated to the 75th anniversary of
V.V.Kirichenko (July, 2017, Kyiv,
Ukraine).
P.115.
131.
Shavarovskii
B.Z. Improved triangular form of the matrix and its invariants // Book of
abstracts of the XI International Algebraic Conference in Ukraine dedicated to the 75th anniversary of
V.V.Kirichenko (July, 2017, Kyiv,
Ukraine).
P.123.
132.
Shchedryk
V.P. Helmer lemma for Bezout domains of stable range 1.5 // Book of abstracts
of the XI International Algebraic Conference in Ukraine
dedicated to the 75th anniversary of V.V.Kirichenko (July, 2017, Kyiv, Ukraine).
P.124.
133.
Romaniv
A. On decomposition of matrices from full linear group in the product matrices
from certain its subsets // Conference of young Scientists “Pidstryhach reading
– 2017”. – L’viv, Ukraine
May 23–25, 2017, L’viv. – [Electronic resource]. – Access mode:
(http://www.iapmm.lviv.ua/chyt2017/abstracts/Romaniv.pdf).
134.
Prokip
V.M. On solvability of the matrix equation ÀÕ=XÂ over integral domains // Book
of abstracts of the XI International Algebraic Conference in Ukraine dedicated to the 75th anniversary of
V.V.Kirichenko (July, 2017, Kyiv,
Ukraine).
P.107.
135.
Prokip
V.M. About coexistence of system of matrix equations AX = B ³ BY = A over
commutative rings // PSC–IMFS–13 dedicated to the 125th anniversary Stefana
Banaha. March 30–31, 2017. L'viv, Ukraine. Conference Proceedings.
P.65–66. – [Electronic resource]. – Access mode:
(http://psc–imfs.lpnu.ua/sites/default/files/PSC–13.pdf).
136.
Fedorchuk Vasyl. O klasyfikacji niskowymiarowych
algebr Liego // Abstrakty Drugiej Ogόlnopolskej Konferencji Naukowej
"Oblicza Algebry II" (Krakόw, 1–4 czerwca, 2017), Uniwersytet
Pedagogiczny im. KEN w Krakowie. − S. 15. − http://
algebra.up.krakow.pl/II/files/abstrakty.
http://algebra.up.krakow.pl/II/files/abstrakty.pdf.
137.
Fedorchuk Vasyl, Fedorchuk Volodymyr. On
Ñlassification of Symmetry Reductions for Partial Differential Equations //
Program and Abstract Book. Symmetry 2017: The 1st International Conference on
Symmetry (16–18 October 2017, Parc
Cientific de Barcelona, Spain),
MDPI. − P. 168.
138.
Fedorchuk V.M. , Fedorchuk V.I. On Classification of Some Non–Singular
Manifolds In the Space M(1,3) ×R(u). // BGL17: 10th
Bolyai–Gauss–Lobachevski Conference on Non–Euclidean Geometry and its
Applications. (Aug 20–26, 2017 Gyöngyös,
Hungary).
https://indico.cern.ch/event/586799/attachments/1400831/2353974/bgl17_preliminary_agenda.pdf.
139.
Fedorchuk V.M., Fedorchuk V.I. Classification of
low–dimensional Lie Algebras // Book of abstracts of the XI International
Algebraic Conference in Ukraine
dedicated to the 75th anniversary of V.V.Kirichenko. July, 2017, Kyiv, Ukraine.
– 159 p. – P. 42.
140.
Bilous A. M.
Effective duo rings // Book of abstracts of the XI International
Algebraic Conference in Ukraine dedicated to the 75th anniversary of
V.V.Kirichenko, July, 2017, Kyiv, Ukraine – P.23.
141.
Romaniv
A. M. The Smith normal form of the greatest common divisor of one class of
matrices // Conference
of young Scientists “
Pidstryhach reading – 2016”. – L’viv,
Ukraine
May 25–27,
2016., L’viv. – [Electronic
resource]. – Access
mode: (http://www.iapmm.lviv.ua/chyt2016/theses/Romaniv.pdf).
142.
Prokip V.M. The structure of rank 1 matrices over the
domain of principal ideals with respect to similarity transformation // Algebra
and logic. Abstracts of International
reports. conference devoted to the 70th anniversary of V. M. Levchuk
Krasnoyars, 24–29 July 2016 . P.63–64. (in Russian)
143.
Prokip V.M. On symmetric solutions of linear matrix
equations over the domain of principal ideals // 12 The open scientific
conference of the Institute
of Applied Mathematics
and Fundamental Sciences (IMFN). Collection of conference materials 2–3 June
2016 (L’viv, Ukraine). P.41–42. (in Ukrainian)
144.
Prokip V.M. On the structure of symmetric solutions of
the matrix equation ÀX=B
// International Scientific Conference Algebraic and Geometric Methods of
Analysis, 2–8 June 2016, Odesa, Ukraine. P. 51. (in Ukrainian)
145.
Bilous
A.M. Simultaneous reduction of a pair of matrices over some class of duo
rings// X International Algebraic Conference in Ukraine dedicated to the 70th
anniversary of Yu. A. Drozd. August 20 – 27, 2015. Odessa, Ukraine.
Abstracts. – P. 17.
146.
Ladzoryshyn
N., Petrychkovych V. On solutions of the matrix linear equations AX+YB=C over
quadratic rings // Book of abstracts of the X International Algebraic
Conference in Ukraine
dedicated to the 70th anniversary of Yu. A. Drozd, August 20 – 27, 2015, Odessa. – Abstract. – Odessa: TES, 2015. – P.
61.
147.
Ladzoryshyn
N.B. The matrix linear unilateral equations over quadratic rings //
Conference of young Scientists “
Pidstryhach reading – 2015”.– L’viv,
Ukraine,
May 26–28,
2015, L’viv. – [Electronic
resource]. – Access
mode (http://www.iapmm.lviv.ua/chyt2015/theses/Ladzoryshyn.pdf).
148.
Romaniv
A. M. On the divisibility of the second–order matrices // International V.
Skorobohatko Mathematical Conference (August 25 – 28, 2015, Drohobych, Ukraine).
Abstracts. Lviv –2015. P. 135.
149.
Romaniv
A. M. Greatest common left divisor of second ordre matrices
// Conference of young Scientists “Pidstryhach
reading – 2015”. – L’viv, Ukraine May 26–28, 2015.,
L’viv. –
[Electronic resource].
– Access mode: (http://www.iapmm.lviv.ua/chyt2015/theses/Romaniv.pdf)
150.
B.Z.
Shavarovskii. When polynomial matrices of second order semiscalarly are
equivalent? // X International Algebraic Conference in Ukraine dedicated to the 70th
anniversary of Yu. A. Drozd. August 20 – 27,
2015. Odessa, Ukraine. Abstracts. P. 100.
151.
Bogdan
Shavarovskii/ On the canonical form a certain class of matrices of the second order
with respect to the semiscalar equivalence
// International V. Skorobohatko Mathematical Conference (August 25 –
28, 2015, Drohobych, Ukraine). Abstracts. Lviv –2015. P. 149.
152.
Shchedryk
V.P. Decomposition
of general linear group and ring’s stable range
// Book of abstracts of the X International
Algebraic Conference in Ukraine dedicated
to the 70–th
anniversary of Yu. A. Drozd, August
20 – 27,
2015, Odessa.
– P. 101.
153.
Volodymyr
Prokip. Solutions of a linear matrix equation XA0 = A1 with prescribed characteristic
polynomials // Oblicza Algebry.
Ogól–nopolska
Konferencja Naukowa, Kraków,
Poland (May 29
– 30, 2015 r.) – Ñ.33. http://algebra.up.krakow.pl http://algebra.up.krakow.pl/abstr–all–strona3.pdf?w=no.
154.
Prokip
V.M. Solutions of the matrix equation XA0
= A1 over domains of principal ideals with prescribed
characteristic polynomials // X International Algebraic Conference in Ukraine
dedicated to the 70th anniversary of Yu. A. Drozd. August 20 – 27,
2015. Odessa, Ukraine. Abstracts. P. 91.
155.
Volodymyr
Prokip. On common eigenvectors of two matrices over a principal ideal domain //
International V. Skorobohatko Mathematical Conference (August 25 – 28, 2015, Drohobych, Ukraine).
Abstracts. Lviv –2015. P. 129.
156.
Vasyl
Fedorchuk, Volodymyr Fedorchuk, On classification of reduced equations for the
eikonal equation, International workshop in honor of 70th birthday of Anatoly
Nikitin "Symmetry and Integrability of Equations of Mathematical
Physics" (December 27−28, 2015, Kyiv), Institute of Mathematics of
NAS of Ukraine, http://www.imath.kiev.ua/~appmath/Abstracts2015/FedorchukVas.pdf.
157.
V.
Fedorchuk, V. Fedorchuk, On symmetry reduction and invariant solutions of some
P(1,4)–invariant differential equations, Abstracts of the 14th Conference
“Mathematics in Technical and Natural Sciences” (September 18–24, 2015,
Kościelisko), Faculty of Applied Mathematics of AGH University of Science
and Technology, Kraków,
Poland.
158.
Vasyl
Fedorchuk, O niektórych zastosowaniach skończenie wymiarowych
algebr Lie’go lokalnych grup Lie’go przekształceń punktowych,
abstracty Ogólnopolskej Konferencji Naukowej "Oblicza Algebry"
(Maj 29–31, 2015, Kraków), Uniwersytet Pedagogiczny im. KEN w
Krakowie, http://algebra.up.krakow.pl/abstr–all–strona3.pdf,
S.12.
159.
Vasyl
Fedorchuk, On classification of the non–conjugate subalgebras of the Lie
algebra of the Poincare group P(1,4) and symmetry reduction of some
differential equations // International V. Skorobohatko
Mathematical Conference (August 25 – 28, 2015, Drohobych, Ukraine).
Abstracts. Lviv –2015. P. 39.
160.
Fedorchuk
V.I. On Exact Solutions of Some P(1,4)-Invariant d'Alembert Equations //
International conference of young mathematicians (Kuiv, 3–6 June 2015): Book of
abstracts. – Kyiv, 2015. – P. 118.
161.
Ladzoryshyn
N.B. The matrix linear unilateral equations over quadratic rings // Conference
of young Scientists “ Pidstryhach reading – 2015”.– L’viv, Ukraine, May 26–28, 2015, L’viv. –
[Electronic resource]. – Access mode
(http://www.iapmm.lviv.ua/chyt2015/theses/Ladzoryshyn.pdf).
162.
Ladzoryshyn
N., Petrychkovych V. On
solutions of the matrix linear equations AX+YB=C over quadratic rings // X
International Algebraic Conference in Ukraine dedicated to the 70th
anniversary of Yu. A. Drozd. August 20 – 27, 2015. Odessa, Ukraine.
Abstracts. – P. 61.
163.
Petrychkovych V.M., Dzhaliuk
N.S. Structure of solutions of the matrix Diofantine
polynomial equations // International
Algebraic Conference dedicated to 100th anniversary of L.A.
Kaluzhnin. Book of Abstracts. Jule 7–12,
2014.
Kyiv. – P. 29.
164.
Romaniv
A.M. On the least common right multiples of matrices over an adequate domain //
International Algebraic Conference dedicated to anniversary of L.A. Kaluzhnin in Ukraine,
July 7–12, 2014. Book of abstract – Kyiv: Taras Shevchenko National University
of Kyiv, 2014. – P. 72.
165.
Ladzoryshyn
N.B. The integral solutions of bilateral linear matrix equations over quadratic
rings // International
Algebraic Conference dedicated to 100th anniversary of L.A.
Kaluzhnin. Book of Abstracts. Jule 7–12,
2014.
Kyiv.– P. 52.
166.
Ladzoryshyn
N.B. Integer solutions of matrix Diophantine equation over quadratic rings //
Conference of young Scientists “ Pidstryhach reading – 2014”.– L’viv, Ukraine,
May 28–30, 2014, L’viv. – [Electronic resource]. – Access mode
(http://www.iapmm.lviv.ua/chyt2014/theses/Ladzoryshyn.pdf).
167.
B.Z.
Shavarovskii. Quasi–diagonal similarity and semiscalar equivalence of matrices //
International
Algebraic Conference dedicated to 100th anniversary of L.A.
Kaluzhnin. Book of Abstracts. Jule 7–12,
2014.
Kyiv. P. 76 – 77.
168.
Shchedryk
V. On
Bezout rings of stable range 1,5 //
Book of abstracts of the International
Algebraic Conference dedicated to 100 anniversary
of L.A. Kaluzhnin,
July 7–12, 2014,
Taras Shevchenko National University of Kyiv, Ukraine,
P.77–78.
169.
Prokip
V. On
common solutions of matrix equations over an elemen–tary
divisor domain // International
Algebraic Conference dedicated to 100th anniversary of L.A.
Kaluzhnin. Book of Abstracts. Jule 7–12,
2014.
Kyiv. P. 69.
170.
Fedorchuk
V.M., Fedorchuk V.I., On Invariant Operators of Nonconjugate Subalgebras of the
Lie Algebra of the Poincare Group P(1,4), Book of abstracts of the
International Algebraic Conference dedicated to 100th anniversary of
L.A.Kaluzhnin (July 7–12, 2014, Kyiv, Ukraine), Taras Shevchenko National
University of Kyiv, p. 29.
171.
Vasyl
Fedorchuk, Volodymyr Fedorchuk, On Symmetry Reduction of Some P(1,4)–invariant
Differential Equations, Abstracts of The XVIth International Conference is
Dedicated to 70th Anniversary of Professor Jan J. Sławianowski (June 6–11,
2014, Varna, Bulgaria),
Institute of Biophysics,
Bulgarian Academy
of Sciences, http://www.bio21.bas.bg/conference/Conference_files/abstr2014/Fedorchuk.pdf.
172.
Dzhaliuk N.,
Petrychkovych V. Semiscalar equivalence of polynomial matrices and
solutions of the matrix linear polynomial equations // 9–th International algebraic conference in Ukraine,
L'viv, July 8–13, 2013: Book of abstracts. – L'viv, 2013. –
P. 57.
173.
Ladzoryshyn
N., Petrychkovych V. Equivalence of pairs of matrices with relatively prime
determinants over quadratic principal ideal rings // 9–th
International algebraic conference in Ukraine, L'viv, July 8–13, 2013: Book of
abstracts. – L'viv, 2013. – P. 109.
174.
Ladzoryshyn
N. The matrix linear bilateral equations over quadratic rings // International Conference “Modern Problems
of Mechanics and Mathematics”. – L’viv, Ukraine May 21–25, 2013, L’viv.
Abstract. – L’viv: YA. S. Pidstryhach Institute for APMM NAS of Ukraine. – P.
187–189.
175.
À.Ì.
Romaniv Greatest common left divisor of matrices one of which is disappear // Abstract
of 9–th
International Algebraic Conference in Ukraine, Jule 5–12,
2013.
/ Abstract of talks – Lviv: Lviv Taras Shevchenko National University Ukraine
2013. – p.156.
176.
B.Z.
Shavarovskii. Reduction of polynomial matrices by semiscalar equivalent
transformation // 9th International Algebraic Conference in Ukraine.
July 8–13, 2013, L’viv, Ukraine.
Book of abstracts. P. 172.
177.
Prokip
V. Normal form with respect to similarity of involutory matrices over a
principal ideal domain // 9th International Algebraic Conference in
Ukraine. Abstracts. Jule 8–13, 2013. Lviv. P. 149.
178.
Vasyl
M. Fedorchuk, Volodymyr I. Fedorchuk, On symmetry reduction of some
differential equations and classification of low–dimensional nonconjugate
subalgebras of the Lie algebra of the Poincare group P(1,4), International
workshop in honor of Wilhelm Fushchych "Symmetry and Integrability of
Equations of Mathematical Physics" (December 22−23, 2013, Kyiv),
Institute of Mathematics of NAS of Ukraine, http://www.imath.kiev.ua/~appmath/AbstractsWIF/FedorchukVas2013.pdf
179.
Fedorchuk
V.M., Fedorchuk V.I., Classification of low–dimensional non–conjugate
subalgebras of the Lie algebra of the Poincare group P(1,4), 9–th International
Algebraic Conference in Ukraine
(July 8–13, 2013, L'viv,
Ukraine), Book of abstracts, L'viv, Ivan Franko
National University of L'viv, p. 58.
180.
Dzhaliuk N., Petrychkovych
V. On the minimal degree solutions of the Sylvester
matrix polynomial equations // International mathematical conference: abstracts of
talks. – Mykolayiv: Published by Mykolayiv
V.O. Suchomlinsky
National University,
2012. – P. 138.
181.
Vasyl`
Petrychkovych,
Nataliia Dzhaliuk The
matrix Diophantine polynomial equations // International
Conference on Algebra dedicated to
100th anniversary of S.M. Chernikov, August
20–26, 2012, Dragomanov National Pedagogical University, Kiev, Ukraine:
Book of abstracts. – Kiev: Institute of Mathematics of UNAS, 2012. – P. 116.
182.
B.
Shavarovskii. On similarity of pairs of matrices, in which one matrix has only
one elementary divisor // International
mathematical conference: abstracts of talks. – Mykolayiv: Published by Mykolayiv V.O. Suchomlinsky
National University,
2012. – P. 134.
183.
Romaniv
A., Shchedryk V. On Smith normal form of greatest common left divisor and least
common right multiple of matrices //
International mathematical conference:
abstracts of talks. – Mykolayiv: Published by Mykolayiv V.O.
Suchomlinsky National
University, 2012. –
P. 116–117.
184.
Bogdan
Shavarovskii. On similarity of pairs of matrices, in which one matrix is
nonderogatory // International Conference on Algebra dedicated to
100th anniversary of S.M. Chernikov, August
20–26, 2012, Dragomanov National Pedagogical University, Kiev, Ukraine:
Book of abstracts. – Kiev: Institute of Mathematics of UNAS, 2012. – P. 138.
185.
Volodymyr
Prokip. Normal form with respect to similarity of a matrix with minimal
polynomial
m(λ)=(λ–α)(λ–β),(α≠β) //
International Conference on Algebra dedicated to 100th
anniversary of S.M. Chernikov, August
20–26, 2012, Dragomanov National Pedagogical University, Kiev, Ukraine:
Book of abstracts. – Kiev: Institute of Mathematics of UNAS, 2012. – P. 121.
186.
Prokip
V.M. Note on the Hermite normal form // International
Conference dedicated to the 120th anniversary of Stefan Banach,
Lviv, Ukraine, 17–21 September 2012. Abstracts of Reports.
– P. 262.
187.
Bogdan
Shavarovskii On the canonical form for a certain class of matrices with respect
to similarity // International
Conference dedicated to the 120th anniversary of Stefan Banach,
Lviv, Ukraine, 17–21 September 2012. Abstracts of Reports.
– P. 264.
188.
Romaniv
A., Shchedryk V. On Smith normal form of greatest common left divisor and least
common right multiple of matrices //
International mathematical conference:
abstracts of talks. – Mykolayiv: Published by Mykolayiv V.O.
Suchomlinsky National
University, 2012. –
P. 116–117.
189.
Volodymyr
Shchedryk On factorizability and associativity of matrices // International
Conference on Algebra dedicated to
100th anniversary of S.M. Chernikov, August
20–26, 2012, Dragomanov National Pedagogical University, Kiev, Ukraine:
Book of abstracts. – Kiev: Institute of Mathematics of UNAS, 2012. – P. 139.
190.
Fedorchuk V.M, Fedorchuk V.I., Classification
of non–singular manifolds in the space M(1,4)×R(u) invariant under one–
and two–dimensional non–conjugate subalgebras of the Lie algebra of the
Poincaré group P(1,4) // 8th Bolyai–Gauss–Lobachevsky
Conference "Non–Euclidean Geometry in Modern Physics and Mathematics"
(Uzhgorod, Ukraine, 22–25 May 2012). Programme and Abstracts. Uzhgorod, 2012, IEP
of the NAS of Ukraine,
p. 43.
191.
Vasyl Fedorchuk, Volodymyr Fedorchuk,
Non–equivalent functional bases of invariants for non–conjugate subgroups of the
Poincaré group P(1,4) in the space M(1,4)×R(u) // International mathematical conference: abstracts of
talks. – Mykolayiv: Published by Mykolayiv
V.O. Suchomlinsky
National University,
2012. – P. 3.
Vasyl Fedorchuk, Volodymyr Fedorchuk, Invariant operators of five–dimensional non–conjugate
subalgebras of the Lie algebra of the Poincaré group P(1,4) // International
Conference on Algebra dedicated to
100th anniversary of S.M. Chernikov, August
20–26, 2012, Dragomanov National Pedagogical University, Kiev, Ukraine:
Book of abstracts. – Kiev: Institute of Mathematics of UNAS, 2012. – P. 48.
192.
Vasyl Fedorchuk, Volodymyr Fedorchuk,
Classification of functional bases of invariants in the space M(1,3)×R(u)
for one– and two– parametrical non–conjugate subgroups of the Poincaré
group P(1,4) // International
Conference dedicated to the 120th anniversary of Stefan Banach,
Lviv, Ukraine, 17–21 September 2012. Abstracts of Reports.
– P. 189.
193.
Petrychkovych V. M., Dzhaliuk
N. S. Factorizations
in rings of block triangular matrices
// Book of abstracts of the 8th International
Algebraic Conference in Ukraine
(July 5 – 12, 2011, Lugansk Taras
Shevchenko National University, Ukraine),
P. 159.
194.
Prokip
V.M. About the normal form of linear matrix pencils // III International Conference on matrix
methods and operator equations. Moscow,
June 22–25, 2011.
Abstracts. – Moscow, 2011.
– P.
39.
195.
Romaniv
À. On monic
divisors of polynomial matrices // Book
of abstracts of the 8th International Algebraic Conference in Ukraine (July 5 – 12, 2011, Lugansk Taras Shevchenko National University, Ukraine), P. 178.
196.
Fedorchuk
Vasyl M., Fedorchuk
Volodymyr I. Classification
of the five–dimensional
non–conjugate
subalgebras of the Lie algebra of the Poincaré
group P(1,4)
// Book of abstracts of the 8th International
Algebraic Conference in Ukraine
(July 5 – 12, 2011, Lugansk Taras
Shevchenko National University, Ukraine),
P. 160
197.
Shavarovskii
B. Canonical
forms for matrices under semiscalar equivalence
// Book of abstracts of the 8th International
Algebraic Conference in Ukraine
(July 5 – 12, 2011, Lugansk Taras
Shevchenko National University, Ukraine),
P. 181.
198.
Shchedryk
V. On
elementary divisor rings and properties of its elements
// Book of abstracts of the 8th International
Algebraic Conference in Ukraine
(July 5 – 12, 2011, Lugansk Taras
Shevchenko National University, Ukraine),
P. 222.
199.
Shchedryk
V. Matrices divisors generated by transformable matrices // Int. Alg. Conf.
dedicated to A.V. Yakovlev. 2010. – S. Peterburg. – Jun 19–24, 2010. Abstracts.
S. Peterburg. – P.153–154.
200.
Kateryna
Pavlyk and Oleg Gutik, On some semigroup constructions
// AAA80 workshop on general algebra in connection with the Workshop on
non–classical algebraic structures, 1–6 June 2010, Bedlewo, Poland.
– Online.
201.
Ladzoryshyn
N.B. On equivalence of certain pairs of matrices over quadratic Euclidean rings
// XIII inter¬natio¬nal Scientific Kravchuk mathematical conference. – Kyiv, Ukraine
, May 13–15, 2010: Conference materials. V.2 – K. NTUU – 320 p. – P. 166.
202.
B.
Shavarovskii On the invariants of polynomial matrices with respect to
semiscalar equivalence // 7 International Algebraic Conference in Ukraine: abstracts of talks ( 18 – 23 August,
2009, Kharkov) – Kiev, 2009. – 168 p. P. 127–128.
203. Bogdan
Shavarovskii Solving a System of Linear Two–Sided Matrix Equations
// Ukrainian Mathematical Congress. –
Kiev,
2009. www.imath.kiev.ua/~congress2009/Abstracts/Shavarovski.pdf
204.
Shchedryk
V. On matrices reduction by one–side transformations // 7 International
Algebraic Conference in
Ukraine:
abstracts of talks (18 – 23 August, 2009, Kharkov)
– Kiev, 2009,
168 p. – P. 128–129.
205. Shchedryk
V. On invariant factors of block–triangular matrix and
its diagonal blocks // Ukrainian Mathematical Congress.
–
Kiev, 2009 www.imath.kiev.ua/~congress2009/Abstracts/Shchedryk.pdf
206.
Prokip
V. M. On semiskalar equivalence of polynomial matrices over a field // Abstract
of 7–th International Algebraic Conference in Ukraine, 2009. – Abstract of talks,
Kharkiv, 2009. – p.111–112.
207.
Prokip
V.M.On common divisors of polynomial matrices // Ukrainian
Mathematical Congress. – Kiev,
2009 www.imath.kiev.ua/~congress2009/Abstracts/Prokip.pdf
208.
Petrychkovych
V.M. Matrix polynomial equations and its solutions // 7 International Algebraic
Conference in Ukraine:
abstracts of talks (18 – 23 August, 2009, Kharkov).–
Kiev, 2009. –
168 p. – P. 108–109.
209.
Petrychkovych
V.M., Zabavsky B.V. On the stable range of rings of matrices // 7 International
Algebraic Conference in Ukraine:
abstracts of talks (18 – 23 August, 2009, Kharkov).–
Kiev, 2009. –
168 p. – P. 109–110.
210.
Petrychkovych
V.M. Matrix polynomials its divisors and structure
// Ukrainian Mathematical Congress.
– Kiev,
2009 www.imath.kiev.ua/~congress2009/Abstracts/Petrychkovych.pdf
211.
Dzhalyuk
N.S. Equivalence and factorization of partitioned matrices // 7 International
Algebraic Conference in Ukraine:
abstracts of talks (18 – 23 August, 2009, Kharkov).–
Kiev, 2009. –
168 p. – P. 49–50.
212.
Kateryna
Pavlyk, Oleg Gutik and Andriy Reiter On Topological Semigroups of Matrix
Units // The 14th general meeting of
European women in mathematics, Novi Sad, Serbia August 25–28, 2009, Book of
Abstracts 2. – P. 36–37.
213.
Ladzoryshyn
N.B. On equivalence of pairs of matrices over quadratic Euclidean rings //
Conference of young Scientists Pidstryhach with Modern Problems of Mechanics
and Mathematics. – L’viv, Ukraine,
May 25–27, 2009. – P. 176–177.
214.
Vasyl
Fedorchuk, Volodymyr Fedorchuk, O konstruowaniu klas rownan rozniczkowych z
nietrywialnymi grupami symetrii // III forum matematykow polskich (30.06–02.07
2009, Krakow, Polska), Book of abstracts. – P.
12.
215.
V.M.
Fedorchuk, V.I. Fedorchuk, On some classes of the partial differential
equations with non–trivial symmetry groups // XVI International Congress on
Mathematical Physics, Prague,
August 3–8, 2009, Book of abstracts. – P. 49–50.
216.
Shavarovs’kii
B. On the class of factorable polynomial matrices // 6th International
Algebraic Conference in Ukraine.
Kamyanets–Podilsky, July 1–7, 2007. Abstracts.
– Kamyanets–Podilsky, 2007. – P. 187–188.
217.
Fedorchuk
Vasyl M., Fedorchuk Volodymyr I. On classification of the four–dimensional
decomposable non–conjugate subalgebras of the Lie algebra of the Poincare group
P(1,4) // 6th International Algebraic Conference in Ukraine. – Kamyanets–Podilsky, July
1–7, 2007. Abstracts. – Kamyanets–Podilsky, 2007. – P. 78–79.
218.
Prokip
V. About the uniqueness solution of the matrix polynomial equation // 6th
International Algebraic Conference in Ukraine. Kamyanets–Podilsky, July
1–7, 2007. Abstracts. – Kamyanets–Podilsky, 2007. – P. 158–159.
219.
Shchedryk
V.,. Mel’nyk O. On canonical diagonal form of matrices product // 6th
International Algebraic Conference in Ukraine. Kamyanets–Podilsky, July
1–7, 2007. Abstracts. – Kamyanets–Podilsky, 2007. – P. 188–189.
220.
Dzhalyuk
N., Petrychkovych V. Factorizations of partitioned matrices and solutions of
linear matrix equations // 6th International Algebraic Conference in Ukraine. Kamyanets–Podilsky,
July 1–7, 2007. Abstracts. – Kamyanets–Podilsky, 2007. – P. 75–76.
221.
Petrychkovych
V. On factorizations of matrices over some classes ofrings // International
conference ASADE, Chisineu, August 21–23, 2007. – P.108–109.
222.
Gutik
O. V. , Pavlyk K. P. Topological Brandt λ^0–extensions
and H–closed topological semigroups // 6th International Algebraic Conference
in Ukraine.
Kamyanets–Podilsky, July 1–7, 2007. Abstracts. – Kamyanets–Podilsky, 2007. – P.
88–89
223.
Zelisko
V., Ladzoryshyn N., On equivalence and factorization of matrices over quadratic
rings // 6th International Algebraic Conference in Ukraine. Kamyanets–Podilsky, July
1–7, 2007. Abstracts. – Kamyanets–Podilsky, 2007. – P. 231–232.
224.
Romaniv
A., On regular divisors of polynomial matrices // 6th International Algebraic
Conference in Ukraine.
Kamyanets–Podilsky, July 1–7, 2007. Abstracts. – Kamyanets–Podilsky, 2007. – P.
171–172.
225.
Fedorchuk
Vasyl M, Fedorchuk Volodymyr I. On classification of the four–dimensional
decomposable non–conjugate subalgebras of the Lie algebra of the Poincare group
P(1,4) // 6th International Algebraic Conference in Ukraine
(July 1–7, 2007, Kamyanets–Podilsky, Ukraine),
Abstracts, Kamyanets–Podilsky, Kamyanets–Podilsky State
University, P. 78–79.
226.
Prokip
V. On similarity of a matrix and its transpos // International Conference on
Radicals ICOR–2006, July 30 – August 5, 2006, Kyiv, Ukraine.
– Kyiv, 2006. – P. 55.
227.
Gutik
O. V. and Pavlyk K. P. On Brandt λ^0–Extensions
of Topological Semigroups with Zero // Forth Summer School “Algebra, Topology,
Functional and Stochastic Analysis”, Lviv–Kozyova, July 17–29, 2006. Invited
Lectures and Abstracts of Research Reports. – Lviv–Kozyova, 2006. – P. 139–142.
228.
Fedorchuk
Vasyl, Fedorchuk Volodymyr, On some Applications of Invariant of Continuous
Subgroups of the Poincare Group P(1,4) in Mathematical Physics // Eotvos Lorand
University, 29th August – 4th
September, Budapest, Hungary. – Budapest, 2005. – P. 18.
229.
Fedorchuk
Vasyl M., Fedorchuk Volodymyr I. On functional bases of the first–order
differential invariants for non conjugate subgroups of the Poincare group
P(1,4)// XIII–th Polish–Czech–Slovak Mathematical
School, Krakow.
Dobcryce Jalowcowa Gora. 8th–10th June 2006. Book of Abstracts. – Pedagogical Univ. of Cracow, Departament of Mathematics,
2006. – P. 35.
230.
Shavarovs’kii
B. On the block–diagonal equivalence of matrices // International Conference on
Radicals ICOR–2006, July 30– August 5, 2006, Kyiv, Ukraine.
– Kyiv, 2006. – P. 62–63.
231.
Shchedryk
V. Unilateral equivalence of singular martices and singular divisors of
matrices // International Conference on Radicals ICOR–2006, July 30 – August 5,
2006, Kyiv, Ukraine. – Kyiv, 2006. – P. 64–66.
232.
Gutik
O.V. and Pavlyk K.P. On absolutely H–closed topological semigroups and Brandt λ^0–extensions
// 5th International Algebraic Conference in Ukraine. Odessa,
July 20–27, 2005. Abstracts. – Odessa, 2005. – P. 83–84.
233.
Petrychkovych
V.M. Generalized equivalence of matrices and its collections and factorization
of matrices over rings // 5th International Algebraic Conference in Ukraine. Odessa,
July 20–27, 2005. Abstracts. – Odessa, 2005. – P. 155.
234.
Prokip
V. On common divisors of matrices over principal ideal domain // 5th
International Algebraic Conference in Ukraine. Odessa,
July 20–27, 2005. Abstracts. – Odessa,
2005. – P. 159–160.
235.
Shchedryk
V.P. Some determinant properties of matrices // 5th International Algebraic
Conference in Ukraine.
Odessa, July 20–27, 2005. Abstracts. – Odessa,
2005. – P. 188.
236.
Shavarovs’kii
B.Z. On similarity of some collection of matrices // 5th International
Algebraic Conference in Ukraine.
Odessa, July 20–27, 2005. Abstracts. – Odessa,
2005. – P. 186–187.
237.
Fedorchuk
Vasyl, Fedorchuk Volodymyr, On symetry reduction of some new classes of the
first–order differential equations in the space M(1,4)xR(4) // XII–th
Czech–Polish–Slovak Mathematical School. High School Hlulios 2.06.2005–4.06.2005. Book
of Abstracts. – Univ. of Jan Evangelista Purkyne in Usti nad Labem, 2005. – P. 20–25.
238.
Gutik
O. and Pavlyk K. On compact congruence–free topological inverse semigroups //
International Conference dedicated to the 125–th anniversary of Hans Hahn,
Chernivtsi, Ukraine, June 27 – July 3, 2004. Book of
abstracts. – Chernivtsi, 2004. – P. 128–130.
239.
Prokip
V. On common divisors of matrices over principal ideal domain // 13th IWMS
2004. August 2004, Poland, Poznan`. Abstract. – Poznan`,
2004. – P. 23.
240.
Fedorchuk
V.M., Fedorchuk V.I. Symmetry Reduction of Some Closses of the First–Order
Differential Equations in the Space M(1,4)xR(u) // XI Slovak–Polish–Czech.
math. school. June 2–5, 2004, Ruzomherok. Book of
abstract. – Ruzomherok, 2004. – P. 13.
241.
Gutik
O.V. and Pavlyk K.P. On Brandt λ^0–extensions
of semigroups with zero // IV International Algebraic Conference in Ukraine, Lviv,
August 4–9, 2003, Abstracts. – Lviv, 2003. – P. 88–89.
242.
Dzhalyuk N.S.
and Petrychkovych V.M. On common divisors of polynomial matrices // 4th
International Algebraic Conference in Ukraine, Lviv, 4–9 August, 2003,
Abstracts. – Lviv, 2003. – P. 65–66.
243.
Petrychkovych
V.M. Standard forms of matrices and its collections with respect to various
equivalences and its applications // 4th International Algebraic Conference in Ukraine, Lviv,
4–9 August, 2003, Abstracts. – Lviv, 2003. – P. 171–172.
244.
Prokip
V. On a class of divisors of polynomial matrices over integer domains // 4th
International Algebraic Conference in Ukraine, Lviv, 4–9 August, 2003,
Abstracts. – Lviv, 2003. – P. 177–178.
245.
Fedorchuk
V.M., Fedorchuk V.I. On construction first–order differential equations in the
space M(1,3)xR(4) with non trivial symmetries // X Polish–Chech. Mathematical
school. Poraj, June 4–7, 2003. – Book of abstracts, Institute of Mathematics
and Computer Science, Czestochowa Pedagogical Universuty. – P. 20.
246.
Fedorchuk
V.M., Fedorchuk V.I. On differential first–order differential invariants of the
continuous subgroups of the Poincare group P(1,4) // 4th International
Algebraic Conference in Ukraine,
Lviv, 4–9 August, 2003, Abstracts. – Lviv, 2003. – P. 69–70.
247.
Shavarovs`kyj
B.Z. Similarity invariants of the collection of matrices of order 2k with k
identical elementary divisors // 4th International Algebraic Conference in Ukraine, Lviv,
August 4–9, 2003, Abstracts. – Ëüâ³â,
2003. – P. 202–203.
248.
Shchedryk
V.P. Divisors of matrices over elementary divisor ring // 4th International
Algebraic Conference in Ukraine,
Lviv, August 4–9, 2003, Abstracts. – Ëüâ³â,
2003. – P. 204–205.
249.
Gutik
O.V., Pavlyk K. P. On H–closed topological semigroups and Brandt λ–extensions
// International Mathematical Conference honoring D.A. Grave's 100th year since
the begining of his work at Kyiv
University. Kyiv,
June 17–22, 2002. – Kyiv, 2002. – P. 29–30.
250.
Gutik
O.V., Pavlyk K.P. Topological Brandt λ–extensions
of absolutely H–closed topological inverse semigroups // International
Algebraic Conference Dedicated to the memory of Z.I. Borevich, St. Petersburg,
Russia, September 17–23, 2002. – Abstracts of reports. – St. Petersburg, 2002. – Ð.
99–103.
251.
Petrychkovych
V.M. On factorizations of matrices over ring // International Algebraic
Conference Dedicated to the memory of Z.I.Borevich, St.Petersburg, Russia,
September 17–23, 2002. Abstracts of reports. – St. Peterburg,
2002. – Ð. 138–139.
252.
Fedorchuk
V.Ì., Fedorchuk V.I. O niektorych
zastosowaniach niesprzezonych podalgebr algebry Lie'go uogolnionej grupy
Poincare P(1,4) // Zastosowania algebry VI (Zakopane – Jaszczurowka, 25 lutego
– 3 marca 2002). – Czestochowa:
WSP w Czestochowie. – 2002.
253.
Fedorchuk
V.M., Fedorchuk V.I. Some new differential equations of the first–order in the
space M(1,3)xR(u) with given symmetry groups. // Functional Analysis and its Applications:
Proc. Int. Conf. Dedicated to the 110th anniversary of Stefan Banach, Lviv, May
28–31, 2002. – Lviv: Lviv Ivan Franko National University, Pidstryhach Inst.
for Appl. Probl. of Mech. and Math. – 2002.– P. 69.
254.
Fedorchuk
V.M., Fedorchuk V.I. On Differential Invariants of First– and Second–Order of
the Splitting Subgroups of the Generalized Poincare Group P(1,4) // Symmetry in
Nonlinear Mathematical Physics: Proc. 4th Int. Conf. (Ukr. Math. Congr.
Dedicated to 200th Anniversary of Mykhailo Ostrohrads'kyi), Kyiv, 9–15 July,
2001.– Part 1.– Kyiv: Inst. of Math. of NAS of Ukraine. – 2002. – Ð.
140–144. – (Proc. Inst. of Math. of NAS of Ukraine.– 2002.–
Vol. 43, Part 1).
255.
Fedorchuk
V.M., Fedorchuk V.I. On construction of the first–order differential equations
in the space M(1,4)x R(u) with non trivial symmetry groups // The Int. Math.
Conf. Honoring O.A. Graves's 100th year since the beginning of his work at Kyiv
University, Kyiv, 17–22 June, 2002. – Kyiv: Inst. of Math. of NAS of Ukraine,
Kyiv Nat. Taras Shevchenko Univ. – 2002. – P. 21.
256.
Fedorchuk
V.M., Fedorchuk V.I. First–order differential invariants of the splitting
subgroups of the Poincare group P(1,4), 4rd // Conf. "Geometry and
Topology of Manifolds", Krynica, April 29 to May 4, 2002. – Lodz: Inst. of Math. of
the Technical University
of Lodz. –
2002. – P. 24.
257.
Fedorchuk
V. On new differential equations of the first–order in the Space M(1,4)xR(u)
with nontrivial symmetries, 9th // Polish–Czech Mathematical
School, Krakow–Osieczany, 6th–8th
June, 2002. – Krakow: Pedagogical Univ.
of Cracow, Inst. of Math.
– 2002. – P. 15.
258.
Shchedryk
V.P. Nonassociative divisors of matrices over elementary divisor ring //
International Algebraic Conference Dedicated to the memory of Z.I.Borevich, St.Petersburg, Russia, September 17–23, 2002. Abstracts
of reports. – St. Petersburg. – Ð. 156–158.