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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| Published in: | Algebra and Discrete Mathematics |
|---|---|
| Date: | 2014 |
| Main Authors: | , , |
| Format: | Article |
| Language: | English |
| Published: |
Інститут прикладної математики і механіки НАН України
2014
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/152337 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | 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| _version_ | 1862751482299809792 |
|---|---|
| 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 |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-152337 |
| 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 |
| work_keys_str_mv | AT bondarenkovm ontheequivalenceofmatricesovercommutativeringsmoduloideals AT tylyshchakaa ontheequivalenceofmatricesovercommutativeringsmoduloideals AT stoikamv ontheequivalenceofmatricesovercommutativeringsmoduloideals |