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On the equivalence of matrices over commutative rings modulo ideals

On the equivalence of matrices over commutative rings modulo ideals

We study connections between wildness of the problem of classifying the matrices over an integral domain up to equivalence modulo an ideal and properties of the set of prime elements of the domain.

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Bibliographic Details
Main Authors: Bondarenko, Vitaliy M., Tylyshchak, Alexander A., Stoika, Myroslav V.
Format: Article
Language:English
Published: Lugansk National Taras Shevchenko University 2018
Subjects:
commutative ring
prime element
equivalent matrices modulo an ideal
perfect \((I,J)\)-matrix
wildness
15A21
15B33
Online Access:https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1021
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id oai:ojs.admjournal.luguniv.edu.ua:article-1021
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spelling oai:ojs.admjournal.luguniv.edu.ua:article-10212018-04-26T01:41:11Z On the equivalence of matrices over commutative rings modulo ideals Bondarenko, Vitaliy M. Tylyshchak, Alexander A. Stoika, Myroslav V. commutative ring, prime element, equivalent matrices modulo an ideal, perfect \((I,J)\)-matrix, wildness 15A21, 15B33 We study connections between wildness of the problem of classifying the matrices over an integral domain up to equivalence modulo an ideal and properties of the set of prime elements of the domain. Lugansk National Taras Shevchenko University 2018-04-26 Article Article Peer-reviewed Article application/pdf https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1021 Algebra and Discrete Mathematics; Vol 17, No 1 (2014) 2415-721X 1726-3255 en https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1021/545 Copyright (c) 2018 Algebra and Discrete Mathematics
institution Algebra and Discrete Mathematics
collection OJS
language English
topic commutative ring
prime element
equivalent matrices modulo an ideal
perfect \((I,J)\)-matrix
wildness
15A21
15B33
spellingShingle commutative ring
prime element
equivalent matrices modulo an ideal
perfect \((I,J)\)-matrix
wildness
15A21
15B33
Bondarenko, Vitaliy M.
Tylyshchak, Alexander A.
Stoika, Myroslav V.
On the equivalence of matrices over commutative rings modulo ideals
topic_facet commutative ring
prime element
equivalent matrices modulo an ideal
perfect \((I,J)\)-matrix
wildness
15A21
15B33
format Article
author Bondarenko, Vitaliy M.
Tylyshchak, Alexander A.
Stoika, Myroslav V.
author_facet Bondarenko, Vitaliy M.
Tylyshchak, Alexander A.
Stoika, Myroslav V.
author_sort Bondarenko, Vitaliy M.
title On the equivalence of matrices over commutative rings modulo ideals
title_short On the equivalence of matrices over commutative rings modulo ideals
title_full On the equivalence of matrices over commutative rings modulo ideals
title_fullStr On the equivalence of matrices over commutative rings modulo ideals
title_full_unstemmed On the equivalence of matrices over commutative rings modulo ideals
title_sort on the equivalence of matrices over commutative rings modulo ideals
description We study connections between wildness of the problem of classifying the matrices over an integral domain up to equivalence modulo an ideal and properties of the set of prime elements of the domain.
publisher Lugansk National Taras Shevchenko University
publishDate 2018
url https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1021
work_keys_str_mv AT bondarenkovitaliym ontheequivalenceofmatricesovercommutativeringsmoduloideals
AT tylyshchakalexandera ontheequivalenceofmatricesovercommutativeringsmoduloideals
AT stoikamyroslavv ontheequivalenceofmatricesovercommutativeringsmoduloideals
first_indexed 2024-04-12T06:25:06Z
last_indexed 2024-04-12T06:25:06Z
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