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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| Дата: | 2018 |
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| Автори: | , , |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Lugansk National Taras Shevchenko University
2018
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| Онлайн доступ: | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1021 |
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| Назва журналу: | Algebra and Discrete Mathematics |
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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 |
| _version_ |
1796109243115372544 |