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- Title
ON ADEQUACY OF FULL MATRICES.
- Authors
GATALEVYCH, A. I.; SHCHEDRYK, V. P.
- Abstract
This paper deals with the following question: whether a ring of matrices or classes of matrices over an adequate ring or elementary divisor ring inherits the property of adequacy? The property to being adequate in matrix rings over adequate and commutative elementary divisor rings is studied. Let us denote by A and E an adequate and elementary divisor domains, respectively. Also A2 and E2 denote a rings of 2 × 2 matrices over them. We prove that full nonsingular matrices from A2 are adequate in A2 and full singular matrices from E2 are adequate in the set of full matrices in E2.
- Subjects
COMMUTATIVE rings; MATRICES (Mathematics); ANALYTIC functions; INTEGRAL functions; NONCOMMUTATIVE rings
- Publication
Matematychni Studii, 2023, Vol 59, Issue 2, p115
- ISSN
1027-4634
- Publication type
Article
- DOI
10.30970/ms.59.2.115-122