Matrix linear equations in two variables over rings

	Vasyl’ Petrychkovych Department of Algebra, Pidstryhach Institute for Applied Problems of Mechanics and Mathematics of NAS of Ukraine		Nataliia Dzhaliuk Department of Algebra, Pidstryhach Institute for Applied Problems of Mechanics and Mathematics of NAS of Ukraine
October 17, 2017 at 15:05 in Lecture Room 377

Abstract of talk

We consider matrix linear equations of form over commutative Bezout rings.
The goal is to present the method of solving such equations using the matrix pair standard form
with respect to generalized equivalence and to establish the particular solutions of the
equation, their construction method and the uniqueness criterion. Moreover, for certain classes of matrix equations
one can find their general solutions.

Vasyl’ Petrychkovych
Nataliia Dzhaliuk
October 17, 2017