Published
monographies:
Publications in journals:
2025
2024
2023
14. 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
2022
20. 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.
22. Bovdi V., Shchedryk V.
Adequacy of nonsingular matrices over commutative principal ideal domains –
arXiv preprint arXiv:2209.01408, 2022
24. 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.
25. 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.
26. 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)
29. 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.
30. 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.
31. 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
32. 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
33. 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
34. 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
2021
37. 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)
41. 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)
42. 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
43. 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)
44. 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)
2020
51. 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)
2019
61.
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).
2018
79. , 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)
80. , Petrychkovych
V.M. Matrix linear unilateral and bilateral equations over quadratic rings //
Visnyk of the Lviv Univ. Series Mech. Math. – 2018. – ¹ 85. – P. 32–40. http://dx.doi.org/10.30970/vmm.2018.85.032–040
(in Ukrainian)
81. Romaniv A.M. On the
structure of least common multiple matrices from some class of matrices //
Carpathian Math. Publ. – 2018. – 10, No. 1. – P. 179–184. https://doi.org/10.15330/cmp.10.1.179–184.
82. Romaniv A. M.,
Zabavsky B. V., Bilavska S. I. Adequate properties of the elements with almost
stable range 1 of a commutative elementary divisor domain // Applied
problems of mechanics and mathematics. – 2018. – Issue 16. – P. 33–35. https://doi.org/10.15407/apmm2018.16.33–35
83. Shavarovskii B.Z. Reduced
Triangular Form of Polynomial 3–by–3 Matrices with One Characteristic Root and
Its Invariants //
Journal of Mathematics. Volume 2018, (2018), Article ID 3127984, 6 pages. (http://doi.org/10.1155/2018/3127984).
84. Shavarovskii B.Z. About some
invariants of polynomial matrices with respect to semiscalar equivalence // Applied problems of
mechanics and mathematics.
– 2018. – Issue 16. – P. 14–18. https://doi.org/10.15407/apmm2018.16.14–18 (in Ukrainian)
85. Bovdi Victor A., Shchedryk Volodymyr P. Commutative Bezout domains of
stable range 1.5 // arXiv preprint https://doi.org/10.48550/arXiv.1806.0474 , 2018, 9 pages
86. Prokip V. M. On the
similarity of matrices AB and BA over a field // Carpathian Mathematical
Publications. – 2018. – V. 10. – ¹ 2. – P. 352–359. https://doi:10.15330/cmp.10.2.352–359
87. Shchedryk V.
Classification of Parametric Solutions of One–Sided Matrix Equations by the
Transforming Matrices of Their Characteristic Matrices // Mat. Metody
Fiz.–Mekh. Polya. – 2018– Vol. 61, ¹.3 – P. 7–15. (in Ukrainian)
88. Shavarovskii B. Z.
Semiscalar equivalence and quasidiagonal similarity of the matrices // Journal
of Mathematical Science 2018. – 228, ¹ 1. – P.11–25.
https://doi.org/10.1007/s10958–017–3602–2
2017
2016
2015
102.
Romaniv A.
M. On the
Smith normal form of the greatest common divisor of one class of matrices // Applied problems of
mechanics and mathematics.
– 2015. – Issue 13 – P. 174–181. (in
Ukrainian).
103.
Shchedryk V.P. The value of matrix on a system of roots of diagonal elements of matrix and
its properties // Applied Problems of Mechanics and Mathematics – 2015. – 13.
– P. 187–194 (in Ukrainian)
104.
Shchedryk V.P. Bezout rings of stable range 1.5 // Ukrainian
Mathematical Journal. –
2015. – 67, ¹ 6. – P. 960–974.
105.
Romaniv À.Ì., Shchedryk V.P. Least common
right multiple of the matrices with one invariant factor different from the
identity. // Journal of Mathematical Sciences. – 2015. – 208. No 3 – P. 344–354.
106.
Ladzoryshyn
N.B. The integer
solutions of matrix linear unilateral and bilateral equations over quadratic
rings // Mathematical methods and physico–mechanical fields. – 2015. – 58, No 2. – P. 47–54.(in Ukrainian).
107.
Shavarovskii B. Z. The semiscalar equivalence and
quasi–diagonal similarity of matrices // Mathematical methods
and physico–mechanical fields. – 2015. – 58, No 4. – P. 15–26. (in
Ukrainian)
108.
Shavarovskii 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)
109.
Shavarovskii B. Z. On
nonsingular solutions of one type of systems of matrix equations // Applied
problems of mechanics and mathematics. 2015. – Issue. 13. – P. 11–17. (in Ukrainian)
2014
110.
Ladzoryshyn 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.
111.
Romaniv 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.
112.
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)
113.
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)
114.
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.
115.
Prokip V.M. On solutions of the matrix equation XA0=A1
with prescribed characteristic polynomials // Proc. Intern.
116.
Shchedryk V.P.
The 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)
117.
Fedorchuk V.I. On invariant solutions of some five–dimensional d’Alembert
equations // Mat. Metodi Fiz.–Mekh. Polya. – 2014. – 57, ¹ 4. – P. 27–34. (in Ukrainian)
2013
118.
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.
119.
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.
120.
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).
121.
Shchedryk
V.P.
Generating set of matrices divisors and its properties // Applied problems of mechanics and mathematics. 2013. – Issue.
11. – P.
70–75.
(in Ukrainian).
122.
Prokip
V.M. On normal form with respect to semiscalar equivalence of polynomial matrices
over a field. // J. Math. Sci.,
123. Romaniv A.M., Shchedryk V.P. Least common right multiple of the matrices with one invariant factor different from the identity // Mat. Metody Fiz.–Mekh. Polya. – 2013. – 56. – ¹ 4. – P. 67–74. (in Ukrainian)
124.
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)
125.
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
126.
Petrychkovych V. M.,
127.
. Petrychkovych V. M.,
Dzhaliuk N.S. Seniscalar equivalence of polynomial
matrices and tne solutions of the Sylvester matrix polynomial equations.
Mathematical bulletin of the Shevchenko scientific society. 9, 81–88,
(2012) (in
Ukrainian).
128.
Petrychkovych V. M.,
Dzhaliuk N.S. Solutions of matrix polynomial
diophantine equation. // Applied problems of mechanics and mathematics.
10,
55 – 61, (2012).
(in Ukrainian).
129. 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).
130.
Shchedryk
V.P. Commutative
domains of elementary divisors and some properties of their elements //
Ukrainian Mathematical Journal.
2012. – 64, ¹1. – P.
126–139.
131.
Shavarovskii B.Z. Canonical form of
polynomial matrices with all identical elementary divisors //
Ukr. Math. J.
– 2012.
– 64, No. 2.
– P. 282–297.
132.
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)
133.
Shavarovskii B. Z. On a triangular form of polynomial
matrix and its invariants with respect to semiscalar equivalence //
Mathematical methods
and physico–mechanical fields. – 2012.
– 55, No 3.
– P. 7–20.
(in Ukrainian).
134.
Shavarovskii B. Z. Canonical form
for pair of matrices, in 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).
135.
Prokip
V.M. Diagonalizability of matrices over a principal ideal domain. // Ukr. Math.
J. 64, No. 2, 316–323 (2012).
136.
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
137.
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
138.
Petrychkovych V. M.,
139.
Romaniv
A. M.
Monic divisors of polynomial matrices over infinite field // Algebra
Discrete Math. – 2011. – 12, No 2. – P.
94–101.
140.
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).
141.
Shchedryk
V. On
the one–side equivalence of matrices with given canonical diagonal form //
Algebra and Discrete Mathematics.
– 2011. – 12, ¹2. –
Ñ. 102–111
142.
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.
143.
Shavarovskii B. Z On the similarity of matrix polynomials of simple
structure // Applied problems
of mechanics and mathematics. 2011.
–
144.
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.
145.
Fedorchuk V. M. and Fedorchuk V.I. Invariant 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
146.
Petrychkovych V. M.,
Dzhaliuk N.S. Parallel factorizations of
matrices over rings and their connections. // Applied problems of mechanics and
mathematics. 2010.
–
147.
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).
148.
Shchedryk
V.P.
On invariant factors of block–triangular matrices and their diagonal blocks
// Dopovidi NAS of
149.
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
150.
Petrychkovych V. M.,
Zabavsky B.V. On the stable range of matrix rings Ukrainian
Mathematical Journal 61 (11), 1853–1857, (2009).
151.
Petrychkovych V. M
On solvents of matrix polynomial equations and their number. // Applied
problems of mechanics and mathematics.
2009.
–
152.
Shchedryk
V. Factorization of matrices over elementary
divisor domain // Algebra and Discrete Mathematics. – 2009. – ¹2.
– P. 79–99.
153.
Shavarovskii B.Z.
Similarity Transformations of Decomposable Matrix Polynomials and Related
Questions // Computational Mathematics and Mathematical
Physics. V.
49, No. 9, 2009. P. 1469–1482.
2008
154.
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.
155.
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.
156.
Shchedryk
V.P.
Some invariants of transforming matrices
// Mathematical studies– 2008. – 29. – P.
121–126 (in Ukrainian).
2007
157.
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.
158.
Petrychkovych V. M.,
Dzhaliuk N.S. Factorization
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).
159.
Shavarovskii B.Z. Classes
of Factorable and Unfactorable Polynomial Matrices and Their Relative Position
// Doklady Mathematics . – 2007 – 75,
¹.2. – Ð. 318–321.
160.
Shavarovskii B.Z. On
the Similarity of Matrices of Even Order. // Mathematical Notes. – 81,
no. 3. – 2007. – P. 392–407.
161.
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.
162.
Shavarovskii B.Z. Multiplicative
Structure of a Polynomial Matrix Depending on Its Elementary Divisors// Doklady
Mathematics , 2007. – 76, ¹3. – Ð.
843–847.
2006
163.
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.
164.
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
165.
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).
166.
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
167.
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.
168.
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).
169.
Petrychkovych V. M. On
solutions of matrix polynomial equations and the similarity of matrices. Mat. Metodi Fiz.–Mekh. Polya. 48,
( 4), 14–19,
(2005).
170.
Petrychkovych V. M.,
171.
Shchedryk
V.P. Some determinant properties of primitive matrices over Bezout B–domain // Algebra
and Discrete Mathematics. – 2005. – ¹2.
–P. 46–57.
2004
172.
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.
173.
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.
174.
Petrychkovych V. M.
Generalized equivalence of collections of matrices and common
divisors of matrices. Algebra and Discrete
Mathematics. 2, 84 – 91, (2004).
175.
Petrychkovych V. M.,
Zelisko V.R.
On common divisors of polynomial matrices. Applied problems of mechanics and mathematics. 2, 56 – 60,
(2004).
176.
Petrychkovych V. M. On
divisibility and factorization of matrices. Mat.
Stud. 22, ( 2),
115–120 (2004).
177.
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.
178.
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
179.
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.
180.
Petrychkovych V. M.,
Standard form of pairs of matrices with respect to generalized equivalence. Visnyk
Lviv. Univ., Ser. Mech–Math. 61, 148 – 155,
(2003).
181.
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).
182.
Shchedryk
V. On decomposition of complete linear
group into product of some its subgroups //
Visnyk Lviv. Univ.,
Ser. Mech.–Math.
– 2003. – 61. – P. 184–190.
183.
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.
184.
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
185.
Fedorchuk V.M. and Fedorchuk V.I. On 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.
186.
Fedorchuk
V, On invariants of continuous subgroups of the generalized Poincaré
group P(1,4) // Universitatis Iagellonicae Acta Mathematica, Fasciculus XL,
2002, 197–205.
187.
Petrychkovych V. M.,
188.
Shchedryk
V.P. One
class of divisors of matrices over commutative elementary divisor domain //
Mathematical studies. – 2002. – 17, ¹1. – P.
23–28 (in Ukrainian)
189.
Shchedryk
V.P. Non
associated matrix with standard Ô–skeleton
// Math. Method. i
Fiz. Mekh. Polia.
– 2002. – 45, ¹3. – P.
32–44 (in Ukrainian).
2001
190.
Fedorchuk V.M. and Fedorchuk
V.I. Differential invariants of the first order of splitting
subgroups of the generalized Poincaré group P(1,4). (Ukrainian) // Mat. Metodi Fiz.–Mekh. Polya. – 2001.–
44, N
1. – P.
16–21.
191.
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.,
192.
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
193.
Fedorchuk V.M. Invariants of subgroups of the generalized
Poincaré group P(1,4). (Ukrainian) // Mat. Metodi Fiz.–Mekh. Polya.
– 2000.
– 43, N
2. – P.
64–69.
194.
Petrychkovych V. M. Generalized
equivalence of pairs of matrices. Linear and Multilinear Algebra. 48, (2), 179 – 188, (2000).
195.
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).
196.
Shchedryk
V.P.
Ô–skeleton of matrices and its properties //
Math. Method. i
Fiz. Mekh. Polia,
–2000. – 43, ¹ 2. – P.
45–51 (in Ukrainian).
197.
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).
198.
Shavarovskii B.Z.
Factorable polynomial matrices // Mathematical
Notes. – 2000. – 68, ¹4. – Ñ.
507–518
199.
Shavarovskii B.Z. On
Semiscalar and Quasidiagonal Equivalences of Matrices //
Ukr. Math. J.
– 2000.
– 52, No. 10.
– P. 1638–1643.
1999
200.
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.
201.
Petrychkovych V. M. On
the parallel factorization of matrices over principal ideal rings Journal
of Mathematical Sciences,
202.
Shavarovskii B.Z. Decomposition of polynomial matrices into a direct sum of triangular summands
// Ukr. Math. J. – 1999. – 51, No.
8. – P. 1291–1295.
203.
Shavarovskii B.Z. On
decomposition of polynomial matrices into direct sum of matrices of smaller
order // Reports of the
1998
204.
Shchedryk
V.P. Structure
and properties of matrices divisors over commutative elementary divisor domains // Mathematical studies. – 1998. – 10.
–¹2. – Ñ. 115–120 (in Ukrainian).
205.
Shavarovskii B.Z.
Reduction of matrices of equivalent transformations and similarity
transformations // Mathematical Notes. – 1998. – 64, ¹5. – P.
663–673.
1997
206.
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).
207.
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.
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
2.
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
3.
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,
4.
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
5.
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:
6.
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,
7.
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,
8.
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:
9.
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,
10. 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:
11. Prokip V.M. About square roots of matrices over factorial domains //
International Scientific Conference Algebraic and Geometric Methods of
Analysis.
12. 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
13. 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,
14. 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
15. Shchedryk V., Bovdi V. Adequacy
of nonsingular matrices over commutative principal ideal domains // Conference
UAE Math Day 2023: March 4th, 2023, Organized by
16. 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.
17. 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,
18. 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,
19. 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,
20. 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)
21. Dzhaliuk Nataliia, Petrychkovych Vasyl'. The Sylvester matrix polynomial
equation and its solutions // 14th Ukraine Algebra Conference, July 3–7, 2023
22. 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:
23. 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)
24. 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
25. Ladzoryshyn Natalija. (z,k)–equivalence of pairs of matrices over
imaginary Euclidean quadratic rings // 14th Ukraine Algebra Conference, July
3–7, 2023
26. 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)
27. 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
28. Romaniv A. Conditions of existence of a matrix which contains a
submatrix with given invariant factors// 14th Ukraine Algebra Conference, July
3–7, 2023
29. 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)
30. 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
31. 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
32. 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
33. Prokip V. On canonical form of matrices with minimal polynomial
m(λ)=(λ–α)2. // 14th
34. 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
35. 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 * [
36. 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,
37. Romaniv A. On property of invariant factors of the matrix and its
submatrix // Conference of young Scientists “Pidstryhach reading – 2022”. –
L’viv,
38. Prokip V.M. About solvability of the matrix equation AX= B over Bezout
domains // In International Scientific Conference Algebraic and Geometric
Methods of Analysis.
39. 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,
40. 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"
41. 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,
42. 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
43. 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.
44. 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,
45. Nataliia Dzhaliuk, Vasyl' Petrychkovych Block matrices, their
equivalences and applications // The 13th International Algebraic Conference in
46. 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
47. Romaniv A. Divisibility of invariant factors of two matrices and
invariant factors of sum of these matrices // The 13th International Algebraic
Conference in
48. 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
49. 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 * [
50. Shavarovskii Bohdan Semiscalar equivalence of polynomial 3–by–3 matrices
of simple structure // The 13th International Algebraic Conference in
51. Prokip V. Roth's theorems and similarity of matrices // The 13th
International Algebraic Conference in
52. 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,
53.
Prokip V.M. On solutions of the matrix equation // International
Algebraic Conference "At the End of the Year" 2021, December 27–28,
2021,
54. Shchedryk V., Gatalevych A. On adequacy of full matrices over adequate
rings // XI International Skorobohatko Mathematical Conference. October 26−30,
2020,
55. Andriy Romaniv Divisibility of invariant factors of a matrix and its
submatrix // XI International Skorobohatko
Mathematical Conference. October 26−30, 2020,
56. Bohdan Shavarovskii. Canonical form of a reduced matrix with all
non–zero sub–diagonal elements // XI
International Skorobohatko Mathematical Conference. October 26−30, 2020,
57. Prokip V. A note on semiscalar
equivalence of polynomial matrices // XI International Skorobohatko
Mathematical Conference. October 26−30, 2020,
58. 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,
59. 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 * [
60. 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,
61. Volodymyr Fedorchuk. On Symmetry Reduction and Invariant Solutions of
the Euler–Lagrange–Born–Infeld Equation. XI International Skorobohatko
Mathematical Conference (October 26–30, 2020,
62. Bilous A. Stable range of some classes of non commutative rings // XI
International Skorobohatko Mathematical Conference. October 26−30, 2020,
63. Nataliia Dzhaliuk Equivalence of matrices in the ring of the block
triangular matrices // XI International Skorobohatko Mathematical Conference.
October 26−30, 2020,
64. 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.
65. 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.
66. 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.
67. 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.
68. 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.
69. 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.
70. Bilous A. Stable range of some classes of non commutative rings //
Conference of young Scientists “Pidstryhach reading – 2020”. – L’viv,
71. Ladzoryshyn N. (z,k)–equivalence of matrices over the ring of Gaussian
integers // Conference of young Scientists “Pidstryhach reading – 2020”. –
L’viv,
72. Romaniv A.M.,
73. 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,
74.
ProkipVÂ.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)
75. 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.
76. 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’
77. Nataliia Dzhaliuk. Solutions of the Sylvester matrix equation with
triangular coefficients // The XII International Algebraic Conference in
78. 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.
79. Ladzoryshyn N. Solutions of the matrix equation AX+BY=C over Euclidean
quadratic rings // Conference of young Scientists “Pidstryhach reading –
2019”.– Lviv,
80. 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’
81. 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’
82. Romaniv A. An element with almost stable range 1 over a commutative
elementary divisor domain // Conference of young Scientists “Pidstryhach
reading – 2019”. – L’viv,
83. 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
84. Bilous A. Diagonability of idempotent matrices over APT ring //
Conference of young Scientists “Pidstryhach reading – 2019”. – L’viv,
85. Bilous A. Diagonability
of idempotent matrices over duo rings
// The XII International Algebraic Conference in
86. 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.
87.
88. 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.
89. 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.
90. 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,
91. 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.
92. 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.
93.
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,
94. 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.
95. 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.
96. 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,
97. 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 –
98. 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,
99. 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,
100.
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.
101.
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
102.
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.
103.
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.
104.
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,
105.
Petrychkovych
Vasyl', Dzhaliuk Nataliia Factorizations in the matrix ring and its subrings of
the block matrices // The Fourth Conference of Mathematical Society of the
106.
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
107.
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
108.
Shavarovskii
B.Z. Improved triangular form of the matrix and its invariants // Book of
abstracts of the XI International Algebraic Conference in
109.
Shchedryk
V.P. Helmer lemma for Bezout domains of stable range 1.5 // Book of abstracts
of the XI International Algebraic Conference in
110.
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,
111.
Prokip
V.M. On solvability of the matrix equation ÀÕ=XÂ over integral domains // Book
of abstracts of the XI International Algebraic Conference in
112.
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,
113.
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.
114.
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,
115.
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
116.
Fedorchuk V.M., Fedorchuk V.I. Classification of
low–dimensional Lie Algebras // Book of abstracts of the XI International
Algebraic Conference in
117.
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.
118.
Romaniv
A. M. The Smith normal form of the greatest common divisor of one class of matrices
// Conference of young Scientists “
Pidstryhach reading –
119.
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)
120.
Prokip V.M. On symmetric solutions of linear matrix
equations over the domain of principal ideals // 12 The open scientific
conference of the
121.
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)
122.
Bilous
A.M. Simultaneous reduction of a pair of matrices over some class of duo
rings// X International Algebraic Conference in
123.
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
124.
Ladzoryshyn
N.B. The matrix linear unilateral equations over quadratic rings //
Conference of young Scientists “
Pidstryhach reading –
125.
Romaniv
A. M. On the divisibility of the second–order matrices // International V.
Skorobohatko Mathematical Conference (August 25 – 28, 2015,
126.
Romaniv
A. M. Greatest common left divisor of second ordre matrices //
Conference of young Scientists “Pidstryhach
reading –
127.
B.Z.
Shavarovskii. When polynomial matrices of second order semiscalarly are
equivalent? // X International Algebraic Conference in
128.
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,
129.
Shchedryk
V.P. Decomposition
of general linear group and ring’s stable range
// Book of abstracts of the X International
Algebraic Conference in
130.
Volodymyr
Prokip. Solutions of a linear matrix equation XA0 = A1 with prescribed characteristic
polynomials // Oblicza Algebry.
Ogól–nopolska
Konferencja Naukowa,
131.
Prokip
V.M. Solutions of the matrix equation XA0
= A1 over domains of principal ideals with prescribed
characteristic polynomials // X International Algebraic Conference in
132.
Volodymyr
Prokip. On common eigenvectors of two matrices over a principal ideal domain //
International V. Skorobohatko Mathematical Conference (August 25 – 28, 2015,
133.
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.
134.
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,
135.
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.
136.
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,
137.
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.
138.
Ladzoryshyn
N.B. The matrix linear unilateral equations over quadratic rings // Conference
of young Scientists “ Pidstryhach reading – 2015”.– L’viv,
139.
Ladzoryshyn
N., Petrychkovych V. On
solutions of the matrix linear equations AX+YB=C over quadratic rings // X
International Algebraic Conference in
140.
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.
141.
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
142.
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.
143.
Ladzoryshyn
N.B. Integer solutions of matrix Diophantine equation over quadratic rings //
Conference of young Scientists “ Pidstryhach reading – 2014”.– L’viv,
144.
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.
145.
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.
146.
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.
147.
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.
148.
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,
149.
Dzhaliuk N.,
Petrychkovych V. Semiscalar equivalence of polynomial matrices and
solutions of the matrix linear polynomial equations // 9–th International algebraic conference in
150.
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.
151.
Ladzoryshyn
N. The matrix linear bilateral equations over quadratic rings // International Conference “Modern Problems
of Mechanics and Mathematics”. – L’viv,
152.
À.Ì.
Romaniv Greatest common left divisor of matrices one of which is disappear // Abstract
of 9–th
International Algebraic Conference in
153.
B.Z.
Shavarovskii. Reduction of polynomial matrices by semiscalar equivalent
transformation // 9th International Algebraic Conference in
154.
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.
155.
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
156.
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
157.
Dzhaliuk N., Petrychkovych
V. On the minimal degree solutions of the Sylvester
matrix polynomial equations // International mathematical conference: abstracts of
talks. – Mykolayiv: Published by
158.
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. –
159.
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
160.
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
161.
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. –
162.
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. –
163.
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.
164.
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.
165.
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
166.
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. –
167.
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
168.
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
169.
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.
170.
Petrychkovych V. M., Dzhaliuk
N. S. Factorizations
in rings of block triangular matrices
// Book of abstracts of the 8th International
Algebraic Conference in
171.
Prokip
V.M. About the normal form of linear matrix pencils // III International Conference on matrix
methods and operator equations.
172.
Romaniv
À. On monic
divisors of polynomial matrices // Book
of abstracts of the 8th International Algebraic Conference in
173.
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
174.
Shavarovskii
B. Canonical
forms for matrices under semiscalar equivalence
// Book of abstracts of the 8th International
Algebraic Conference in
175.
Shchedryk
V. On
elementary divisor rings and properties of its elements
// Book of abstracts of the 8th International
Algebraic Conference in
176.
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.
177.
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,
178.
Ladzoryshyn
N.B. On equivalence of certain pairs of matrices over quadratic Euclidean rings
// XIII inter¬natio¬nal Scientific Kravchuk mathematical conference. –
179.
B.
Shavarovskii On the invariants of polynomial matrices with respect to semiscalar
equivalence // 7 International Algebraic Conference in
180.
Bogdan
Shavarovskii Solving a System of Linear Two–Sided Matrix Equations
// Ukrainian Mathematical Congress. –
181.
Shchedryk
V. On matrices reduction by one–side transformations // 7 International
Algebraic Conference in
182.
Shchedryk
V. On invariant factors of block–triangular matrix and
its diagonal blocks // Ukrainian Mathematical Congress.
–
183.
Prokip
V. M. On semiskalar equivalence of polynomial matrices over a field // Abstract
of 7–th International Algebraic Conference in
184.
Prokip
V.M.On common divisors of polynomial matrices // Ukrainian
Mathematical Congress. –
185.
Petrychkovych
V.M. Matrix polynomial equations and its solutions // 7 International Algebraic
Conference in
186.
Petrychkovych
V.M., Zabavsky B.V. On the stable range of rings of matrices // 7 International
Algebraic Conference in
187.
Petrychkovych
V.M. Matrix polynomials its divisors and structure
// Ukrainian Mathematical Congress.
–
188.
Dzhalyuk
N.S. Equivalence and factorization of partitioned matrices // 7 International
Algebraic Conference in
189.
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.
190.
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,
191.
Vasyl
Fedorchuk, Volodymyr Fedorchuk, O konstruowaniu klas rownan rozniczkowych z
nietrywialnymi grupami symetrii // III forum matematykow polskich (30.06–02.07
2009,
192.
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,
193.
Shavarovs’kii
B. On the class of factorable polynomial matrices // 6th International
Algebraic Conference in
194.
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
195.
Prokip
V. About the uniqueness solution of the matrix polynomial equation // 6th
International Algebraic Conference in
196.
Shchedryk
V.,. Mel’nyk O. On canonical diagonal form of matrices product // 6th
International Algebraic Conference in
197.
Dzhalyuk
N., Petrychkovych V. Factorizations of partitioned matrices and solutions of
linear matrix equations // 6th International Algebraic Conference in
198.
Petrychkovych
V. On factorizations of matrices over some classes ofrings // International
conference ASADE, Chisineu, August 21–23, 2007. – P.108–109.
199.
Gutik
O. V. , Pavlyk K. P. Topological Brandt λ^0–extensions
and H–closed topological semigroups // 6th International Algebraic Conference
in
200.
Zelisko
V., Ladzoryshyn N., On equivalence and factorization of matrices over quadratic
rings // 6th International Algebraic Conference in
201.
Romaniv
A., On regular divisors of polynomial matrices // 6th International Algebraic
Conference in
202.
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
203.
Prokip
V. On similarity of a matrix and its transpos // International Conference on
Radicals ICOR–2006, July 30 – August 5, 2006,
204.
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.
205.
Fedorchuk
Vasyl, Fedorchuk Volodymyr, On some Applications of Invariant of Continuous
Subgroups of the Poincare Group P(1,4) in Mathematical Physics //
206.
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
207.
Shavarovs’kii
B. On the block–diagonal equivalence of matrices // International Conference on
Radicals ICOR–2006, July 30– August 5, 2006,
208.
Shchedryk
V. Unilateral equivalence of singular martices and singular divisors of
matrices // International Conference on Radicals ICOR–2006, July 30 – August 5,
2006,
209.
Gutik
O.V. and Pavlyk K.P. On absolutely H–closed topological semigroups and Brandt λ^0–extensions
// 5th International Algebraic Conference in
210.
Petrychkovych
V.M. Generalized equivalence of matrices and its collections and factorization
of matrices over rings // 5th International Algebraic Conference in
211.
Prokip
V. On common divisors of matrices over principal ideal domain // 5th
International Algebraic Conference in
212.
Shchedryk
V.P. Some determinant properties of matrices // 5th International Algebraic
Conference in
213.
Shavarovs’kii
B.Z. On similarity of some collection of matrices // 5th International
Algebraic Conference in
214.
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
215.
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.
216.
Prokip
V. On common divisors of matrices over principal ideal domain // 13th IWMS
2004. August 2004, Poland, Poznan`. Abstract. – Poznan`,
2004. – P. 23.
217.
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.
218.
Gutik
O.V. and Pavlyk K.P. On Brandt λ^0–extensions
of semigroups with zero // IV International Algebraic Conference in
219.
220.
Petrychkovych
V.M. Standard forms of matrices and its collections with respect to various
equivalences and its applications // 4th International Algebraic Conference in
221.
Prokip
V. On a class of divisors of polynomial matrices over integer domains // 4th
International Algebraic Conference in
222.
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,
223.
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
224.
Shavarovs`kyj
B.Z. Similarity invariants of the collection of matrices of order 2k with k
identical elementary divisors // 4th International Algebraic Conference in
225.
Shchedryk
V.P. Divisors of matrices over elementary divisor ring // 4th International
Algebraic Conference in
226.
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
227.
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. –
228.
Petrychkovych
V.M. On factorizations of matrices over ring // International Algebraic
Conference Dedicated to the memory of Z.I.Borevich,
229.
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). –
230.
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.
231.
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
232.
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
233.
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. –
234.
Fedorchuk
V. On new differential equations of the first–order in the Space M(1,4)xR(u)
with nontrivial symmetries, 9th // Polish–Czech
235.
Shchedryk
V.P. Nonassociative divisors of matrices over elementary divisor ring //
International Algebraic Conference Dedicated to the memory of Z.I.Borevich,