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

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.