On adequacy of full matrices over adequate rings

Andrii Gatalevych

Department of Higher Mathematics
Faculty of Mechanics and Mathematics
Ivan Franko
National University of L’viv

Volodymyr Shchedryk

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

November 27, 2020 at 16:00 online

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Abstract of talk

The set of full matrices (i.e., matrices whose elements are relatively prime) of the second order over an adequate ring R is investigated. The concept of an adequate element in non-commutative rings is introduced. It is proved that nonsingular full second order matrices are right (left) adequate elements in the ring of second order matrices over R.