Matrix approach to noncommutative stably free modules and Hermite rings
In this paper we present a matrix-constructive proof of an Stafford’s Theorem about stably free modules over noncommutative rings. Matrix characterizations of noncommutative Hermite and projective-free rings are exhibit. Quotients, products and localizations of Hermite and some other classes of ring...
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| Видавець: | Lugansk National Taras Shevchenko University |
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| Дата: | 2018 |
| 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/1050 |
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Algebra and Discrete Mathematics| id |
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oai:ojs.admjournal.luguniv.edu.ua:article-10502018-04-26T02:28:53Z Matrix approach to noncommutative stably free modules and Hermite rings Lezama, Oswaldo Gallego, Claudia noncommutative rings and modules, stably free modules, Hermite rings, matrix methods in homological algebra 16D40; 15A21 In this paper we present a matrix-constructive proof of an Stafford’s Theorem about stably free modules over noncommutative rings. Matrix characterizations of noncommutative Hermite and projective-free rings are exhibit. Quotients, products and localizations of Hermite and some other classes of rings close related to Hermite rings are also considered. 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/1050 Algebra and Discrete Mathematics; Vol 18, No 1 (2014) 2415-721X 1726-3255 en https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1050/572 Copyright (c) 2018 Algebra and Discrete Mathematics |
| institution |
Algebra and Discrete Mathematics |
| collection |
OJS |
| language |
English |
| topic |
noncommutative rings and modules stably free modules Hermite rings matrix methods in homological algebra 16D40; 15A21 |
| spellingShingle |
noncommutative rings and modules stably free modules Hermite rings matrix methods in homological algebra 16D40; 15A21 Lezama, Oswaldo Gallego, Claudia Matrix approach to noncommutative stably free modules and Hermite rings |
| topic_facet |
noncommutative rings and modules stably free modules Hermite rings matrix methods in homological algebra 16D40; 15A21 |
| format |
Article |
| author |
Lezama, Oswaldo Gallego, Claudia |
| author_facet |
Lezama, Oswaldo Gallego, Claudia |
| author_sort |
Lezama, Oswaldo |
| title |
Matrix approach to noncommutative stably free modules and Hermite rings |
| title_short |
Matrix approach to noncommutative stably free modules and Hermite rings |
| title_full |
Matrix approach to noncommutative stably free modules and Hermite rings |
| title_fullStr |
Matrix approach to noncommutative stably free modules and Hermite rings |
| title_full_unstemmed |
Matrix approach to noncommutative stably free modules and Hermite rings |
| title_sort |
matrix approach to noncommutative stably free modules and hermite rings |
| description |
In this paper we present a matrix-constructive proof of an Stafford’s Theorem about stably free modules over noncommutative rings. Matrix characterizations of noncommutative Hermite and projective-free rings are exhibit. Quotients, products and localizations of Hermite and some other classes of rings close related to Hermite rings are also considered. |
| publisher |
Lugansk National Taras Shevchenko University |
| publishDate |
2018 |
| url |
https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1050 |
| work_keys_str_mv |
AT lezamaoswaldo matrixapproachtononcommutativestablyfreemodulesandhermiterings AT gallegoclaudia matrixapproachtononcommutativestablyfreemodulesandhermiterings |
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2024-04-12T06:25:07Z |
| last_indexed |
2024-04-12T06:25:07Z |
| _version_ |
1796109215581863936 |