Quasi-Euclidean duo rings with elementary reduction of matrices
We establish necessary and sufficient conditions under which a class of quasi-Euclidean duo rings coincides with a class of rings with elementary reduction of matrices. We prove that a Bezout duo ring with stable range 1 is a ring with elementary reduction of matrices. It is proved that a semiexchan...
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| Дата: | 2015 |
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| Автори: | , |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут прикладної математики і механіки НАН України
2015
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| Назва видання: | Algebra and Discrete Mathematics |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/155173 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | Quasi-Euclidean duo rings with elementary reduction of matrices / O. Romaniv, A. Sagan // Algebra and Discrete Mathematics. — 2015. — Vol. 20, № 2. — С. 317-324. — Бібліогр.: 15 назв. — англ. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
irk-123456789-155173 |
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dspace |
| spelling |
irk-123456789-1551732019-06-17T01:28:38Z Quasi-Euclidean duo rings with elementary reduction of matrices Romaniv, O. Sagan, A. We establish necessary and sufficient conditions under which a class of quasi-Euclidean duo rings coincides with a class of rings with elementary reduction of matrices. We prove that a Bezout duo ring with stable range 1 is a ring with elementary reduction of matrices. It is proved that a semiexchange quasi-duo Bezout ring is a ring with elementary reduction of matrices iff it is a duo ring. 2015 Article Quasi-Euclidean duo rings with elementary reduction of matrices / O. Romaniv, A. Sagan // Algebra and Discrete Mathematics. — 2015. — Vol. 20, № 2. — С. 317-324. — Бібліогр.: 15 назв. — англ. 1726-3255 2010 MSC:13F99. http://dspace.nbuv.gov.ua/handle/123456789/155173 en Algebra and Discrete Mathematics Інститут прикладної математики і механіки НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| description |
We establish necessary and sufficient conditions under which a class of quasi-Euclidean duo rings coincides with a class of rings with elementary reduction of matrices. We prove that a Bezout duo ring with stable range 1 is a ring with elementary reduction of matrices. It is proved that a semiexchange quasi-duo Bezout ring is a ring with elementary reduction of matrices iff it is a duo ring. |
| format |
Article |
| author |
Romaniv, O. Sagan, A. |
| spellingShingle |
Romaniv, O. Sagan, A. Quasi-Euclidean duo rings with elementary reduction of matrices Algebra and Discrete Mathematics |
| author_facet |
Romaniv, O. Sagan, A. |
| author_sort |
Romaniv, O. |
| title |
Quasi-Euclidean duo rings with elementary reduction of matrices |
| title_short |
Quasi-Euclidean duo rings with elementary reduction of matrices |
| title_full |
Quasi-Euclidean duo rings with elementary reduction of matrices |
| title_fullStr |
Quasi-Euclidean duo rings with elementary reduction of matrices |
| title_full_unstemmed |
Quasi-Euclidean duo rings with elementary reduction of matrices |
| title_sort |
quasi-euclidean duo rings with elementary reduction of matrices |
| publisher |
Інститут прикладної математики і механіки НАН України |
| publishDate |
2015 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/155173 |
| citation_txt |
Quasi-Euclidean duo rings with elementary reduction of matrices / O. Romaniv, A. Sagan // Algebra and Discrete Mathematics. — 2015. — Vol. 20, № 2. — С. 317-324. — Бібліогр.: 15 назв. — англ. |
| series |
Algebra and Discrete Mathematics |
| work_keys_str_mv |
AT romanivo quasieuclideanduoringswithelementaryreductionofmatrices AT sagana quasieuclideanduoringswithelementaryreductionofmatrices |
| first_indexed |
2023-05-20T17:46:13Z |
| last_indexed |
2023-05-20T17:46:13Z |
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1796154047621758976 |