Scientific
research in the department is conducted on
the theory of rings
and matrices over them, finite-dimensional Lie algebras, topological
graph theory.
Main directions of investigations are
- different types of matrix
equivalence and construction of their simpler forms,
- construction of the
methods of matrix factorization over rings,
- development of methods
for solving different types of matrix equations and investigation of their
solutions;
- construction of nonconjugate subalgebras of
finite-dimensional Lie algebras
and investigation of their structural properties,
- studying embeddings
and immersions of graphs in two-dimensional surfaces.