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"I liked the algebraic way of looking at things.
I’m additionally fascinated when the algebraic method is applied to infinite objects”.

Irwing Kaplansky

The integral solutions of bilateral linear matrix equations over quadratic rings

 

Natalija Ladzoryshyn

Department of Algebra
Pidstryhach Institute for Applied Problems
of Mechanics and Mathematics
National Academy of Sciences of Ukraine

 

 

 

Abstract:

 

The method of constructing of integral solutions of linear matrix equations AX + YB = C over quadratic rings is proposed. We give necessary and sufficient conditions for the existence and uniqueness of these solutions of the bilateral linear matrix equations.

 

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Department of Algebra and Logic
Faculty of Mechanics and Mathematics
Ivan Franko National University of L'viv
1 Universytetska Str., 79000 Lviv, Ukraine
Tel: (+380 322) 394 172
E-mail: oromaniv at franko.lviv.ua

Scientific seminar, May, 2018