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

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

March 12, 2019 at 15⁰⁰ in Lecture Room 377

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.

Vasyl’ Petrychkovych
Nataliia Dzhaliuk
March 12, 2019