Adequacy of nonsingular matrices over commutative principal ideal domains
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.
Authors
- V. Bovdi
- V. Shchedryk
Institutions
- United Arab Emirates University (AE)
- Pidstryhach Institute for Applied Problems of Mechanics and Mathematics (UA)
Publication Details
- Journal
- Carpathian Mathematical Publications
- Published
- 2026-06-26
- DOI
- https://doi.org/10.15330/cmp.18.1.236-249
- Primary Topic
- Rings, Modules, and Algebras
- Type
- preprint
- Field-Weighted Citation Impact
- 0.00