Adequacy of nonsingular matrices over commutative principal ideal domains
Rings and Algebras
2025-05-29 v2
Abstract
The notion of the adequacy of commutative domains was introduced by Helmer in Bull. Amer.Math. Soc., 49 (1943), 225--236. In the present paper we extend the concept of adequacy to noncommutative B\'ezout rings. We show that the set of nonsingular second-order matrices over a commutative principal ideal domain is adequate.
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Cite
@article{arxiv.2209.01408,
title = {Adequacy of nonsingular matrices over commutative principal ideal domains},
author = {V. Bovdi and V. Shchedryk},
journal= {arXiv preprint arXiv:2209.01408},
year = {2025}
}
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12 pages