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arXiv · 2209.01408

Adequacy of nonsingular matrices over commutative principal ideal domains

V. Bovdi·V. Shchedryk
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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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V. Bovdi, V. Shchedryk. 2022-09-03. Adequacy of nonsingular matrices over commutative principal ideal domains. https://arxiv.org/abs/2209.01408

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