Work

Elementary divisor rings with Dubrovin-Komarnytsky property

Year: 2025

Type: article

Abstract: We introduce noncommutative rings with $DK$-property (Dubrovin-Komarnytsky's property) and investigate elementary divisor rings with such property. Mostly we pay attention to these kinds of noncommutative rings which have stable range $1$. A theory of reduction matrices over such rings is constructed. As a consequence, new families of non-commutative rings of elementary divisor rings are constructed. 13 pages

Source: Communications in Mathematics

DOI: 10.46298/cm.16406

Authors: Victor Bovdi, Bohdan Zabavsky

Institution: United Arab Emirates University

Language: English

Topic: Rings, Modules, and Algebras

Subfield: Algebra and Number Theory

Field: Mathematics

Domain: Physical Sciences

Open Access status: bronze

Funder: United Arab Emirates University

Award: G5070822648