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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| Datum: | 2018 |
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| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | Englisch |
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Lugansk National Taras Shevchenko University
2018
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| Online Zugang: | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1050 |
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| Назва журналу: | Algebra and Discrete Mathematics |
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Algebra and Discrete Mathematics| _version_ | 1856543048620572672 |
|---|---|
| author | Lezama, Oswaldo Gallego, Claudia |
| author_facet | Lezama, Oswaldo Gallego, Claudia |
| author_sort | Lezama, Oswaldo |
| baseUrl_str | |
| collection | OJS |
| datestamp_date | 2018-04-26T02:28:53Z |
| 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. |
| first_indexed | 2025-12-02T15:24:44Z |
| format | Article |
| id | admjournalluguniveduua-article-1050 |
| institution | Algebra and Discrete Mathematics |
| language | English |
| last_indexed | 2025-12-02T15:24:44Z |
| publishDate | 2018 |
| publisher | Lugansk National Taras Shevchenko University |
| record_format | ojs |
| spelling | admjournalluguniveduua-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 |
| 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 |
| title | 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_short | Matrix approach to noncommutative stably free modules and Hermite rings |
| title_sort | matrix approach to noncommutative stably free modules and hermite rings |
| topic | noncommutative rings and modules stably free modules Hermite rings matrix methods in homological algebra 16D40 15A21 |
| topic_facet | noncommutative rings and modules stably free modules Hermite rings matrix methods in homological algebra 16D40 15A21 |
| url | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1050 |
| work_keys_str_mv | AT lezamaoswaldo matrixapproachtononcommutativestablyfreemodulesandhermiterings AT gallegoclaudia matrixapproachtononcommutativestablyfreemodulesandhermiterings |