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math.AC2024
Rings of simple range 2
Bohdan Zabavsky, Oleh Romaniv, Andrij Sagan
We introduce the concept of rings of simple range 2. Based on this concept, we build a theory diagonal reduction of matrices over Bezout domain. In particular we show that invarian…
math.AC2020
Clear elements and clear rings
Bohdan Zabavsky, Olha Domsha, Oleh Romaniv
An element in a ring is called clear if it is the sum of unit-regular element and unit. An associative ring is clear if every its element is clear. In this paper we defined cle…