Adequacy of nonsingular matrices over commutative principal ideal domains

Carpathian Mathematical Publications 2026 Open access

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Authors: V. Bovdi, V. P. Shchedryk
DOI: 10.15330/cmp.18.1.236-249
Cited by: 0

Abstract

The notion of adequacy for commutative domains was introduced by O. Helmer in [Bull. Amer. Math. Soc. 1943, 49 (4), 225-236]. In the present paper, we extend the concept of adequacy to noncommutative Bézout rings. We show that the set of nonsingular $2 \times 2$ matrices over a commutative principal ideal domain is adequate.

Fields of Study & Subjects

Rings Modules and Algebras Advanced Topics in Algebra

Publication details

Journal / source
Carpathian Mathematical Publications
Volume
18
Issue
1
Pages
236–249
Publication date
26 June 2026
Language
EN