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...
Збережено в:
| Дата: | 2016 |
|---|---|
| Автори: | , |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Lugansk National Taras Shevchenko University
2016
|
| Теми: | |
| Онлайн доступ: | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/127 |
| Теги: |
Додати тег
Немає тегів, Будьте першим, хто поставить тег для цього запису!
|
| Назва журналу: | Algebra and Discrete Mathematics |
Репозитарії
Algebra and Discrete Mathematics| id |
oai:ojs.admjournal.luguniv.edu.ua:article-127 |
|---|---|
| record_format |
ojs |
| spelling |
oai:ojs.admjournal.luguniv.edu.ua:article-1272016-01-12T07:40:37Z Quasi-Euclidean duo rings with elementary reduction of matrices Romaniv, Oleh Sagan, Andriy Bezout ring, duo ring, stable range, semiexchange ring, ring with elementary reduction of matrices 13F99 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. Lugansk National Taras Shevchenko University 2016-01-12 Article Article Peer-reviewed Article application/pdf https://admjournal.luguniv.edu.ua/index.php/adm/article/view/127 Algebra and Discrete Mathematics; Vol 20, No 2 (2015) 2415-721X 1726-3255 en https://admjournal.luguniv.edu.ua/index.php/adm/article/view/127/pdf Copyright (c) 2016 Algebra and Discrete Mathematics |
| institution |
Algebra and Discrete Mathematics |
| collection |
OJS |
| language |
English |
| topic |
Bezout ring duo ring stable range semiexchange ring ring with elementary reduction of matrices 13F99 |
| spellingShingle |
Bezout ring duo ring stable range semiexchange ring ring with elementary reduction of matrices 13F99 Romaniv, Oleh Sagan, Andriy Quasi-Euclidean duo rings with elementary reduction of matrices |
| topic_facet |
Bezout ring duo ring stable range semiexchange ring ring with elementary reduction of matrices 13F99 |
| format |
Article |
| author |
Romaniv, Oleh Sagan, Andriy |
| author_facet |
Romaniv, Oleh Sagan, Andriy |
| author_sort |
Romaniv, Oleh |
| 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 |
| 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. |
| publisher |
Lugansk National Taras Shevchenko University |
| publishDate |
2016 |
| url |
https://admjournal.luguniv.edu.ua/index.php/adm/article/view/127 |
| work_keys_str_mv |
AT romanivoleh quasieuclideanduoringswithelementaryreductionofmatrices AT saganandriy quasieuclideanduoringswithelementaryreductionofmatrices |
| first_indexed |
2024-04-12T06:26:44Z |
| last_indexed |
2024-04-12T06:26:44Z |
| _version_ |
1796109191017922560 |