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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Veröffentlicht in:Algebra and Discrete Mathematics
Datum:2014
Hauptverfasser: Bondarenko, V.M., Tylyshchak, A.A., Stoika, M.V.
Format: Artikel
Sprache:Englisch
Veröffentlicht: Інститут прикладної математики і механіки НАН України 2014
Online Zugang:https://nasplib.isofts.kiev.ua/handle/123456789/152337
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Назва журналу:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Zitieren:On the equivalence of matrices over commutative rings modulo ideals / V.M. Bondarenko,
 A.A. Tylyshchak, M.V. Stoika // Algebra and Discrete Mathematics. — 2014. — Vol. 17, № 1. — С. 12–19 . — Бібліогр.: 3 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine
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author Bondarenko, V.M.
Tylyshchak, A.A.
Stoika, M.V.
author_facet Bondarenko, V.M.
Tylyshchak, A.A.
Stoika, M.V.
citation_txt On the equivalence of matrices over commutative rings modulo ideals / V.M. Bondarenko,
 A.A. Tylyshchak, M.V. Stoika // Algebra and Discrete Mathematics. — 2014. — Vol. 17, № 1. — С. 12–19 . — Бібліогр.: 3 назв. — англ.
collection DSpace DC
container_title Algebra and Discrete Mathematics
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.
first_indexed 2025-12-07T21:11:23Z
format Article
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institution Digital Library of Periodicals of National Academy of Sciences of Ukraine
issn 1726-3255
language English
last_indexed 2025-12-07T21:11:23Z
publishDate 2014
publisher Інститут прикладної математики і механіки НАН України
record_format dspace
spelling Bondarenko, V.M.
Tylyshchak, A.A.
Stoika, M.V.
2019-06-10T10:51:08Z
2019-06-10T10:51:08Z
2014
On the equivalence of matrices over commutative rings modulo ideals / V.M. Bondarenko,
 A.A. Tylyshchak, M.V. Stoika // Algebra and Discrete Mathematics. — 2014. — Vol. 17, № 1. — С. 12–19 . — Бібліогр.: 3 назв. — англ.
1726-3255
2010 MSC:15A21, 15B33.
https://nasplib.isofts.kiev.ua/handle/123456789/152337
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.
en
Інститут прикладної математики і механіки НАН України
Algebra and Discrete Mathematics
On the equivalence of matrices over commutative rings modulo ideals
Article
published earlier
spellingShingle On the equivalence of matrices over commutative rings modulo ideals
Bondarenko, V.M.
Tylyshchak, A.A.
Stoika, M.V.
title 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_short On the equivalence of matrices over commutative rings modulo ideals
title_sort on the equivalence of matrices over commutative rings modulo ideals
url https://nasplib.isofts.kiev.ua/handle/123456789/152337
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AT tylyshchakaa ontheequivalenceofmatricesovercommutativeringsmoduloideals
AT stoikamv ontheequivalenceofmatricesovercommutativeringsmoduloideals