Category Archives: Spring 2019

Equivalence and factorization of the Kronecker products of polynomial matrices

Volodymyr Zelisko

Department of Algebra and Logic
Faculty of Mechanics and Mathematics
Ivan Franko National University of Lviv

 

April 16, 2019 at 15:05 in Lecture Room 377

Abstract of talk

We consider the problem of equivalence and semiscalar equivalence of the Kronecker products of polynomial matrices and their separation of factors.

The structure of block matrices. I. Factorizations in the rings of the block matrices

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Vasyl’ Petrychkovych

Department of Algebra, Pidstryhach
Institute for Applied Problems of
Mechanics and Mathematics of
NAS of Ukraine

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Nataliia Dzhaliuk

Department of Algebra, Pidstryhach
Institute for Applied Problems of
Mechanics and Mathematics of
NAS of Ukraine

 

March 12, 2019 at 15:05 in Lecture Room 377

Abstract of talk

We investigate equivalences, factorizations, and matrix unilateral and bilateral equations in the rings of the block matrices. In the first part, we consider factorizations of the block matrices, in particular, the block triangular and the block diagonal matrices over integral domains of finitely generated principal ideals. Conditions for existence and uniqueness up to the association of the factorizations in such rings are established.

The arithmetic of solutions of the equation A = BX

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Volodymyr Shchedryk

Department of Algebra, Pidstryhach
Institute for Applied Problems of
Mechanics and Mathematics of
NAS of Ukraine

 

February 26, 2019 at 15:05 in Lecture Room 377

Abstract of talk

We describing the properties of g.c.d. and l.c.m. of matrix equation A = BX solutions over
commutative elementary divisor domain.