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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| Published in: | Algebra and Discrete Mathematics |
|---|---|
| Date: | 2014 |
| Main Authors: | , |
| Format: | Article |
| Language: | English |
| Published: |
Інститут прикладної математики і механіки НАН України
2014
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/153350 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | Matrix approach to noncommutative stably free modules and Hermite rings / O. Lezama, C. Gallego // Algebra and Discrete Mathematics. — 2014. — Vol. 18, № 1. — С. 109–137. — Бібліогр.: 26 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862749342870274048 |
|---|---|
| author | Lezama, O. Gallego, C. |
| author_facet | Lezama, O. Gallego, C. |
| citation_txt | Matrix approach to noncommutative stably free modules and Hermite rings / O. Lezama, C. Gallego // Algebra and Discrete Mathematics. — 2014. — Vol. 18, № 1. — С. 109–137. — Бібліогр.: 26 назв. — англ. |
| collection | DSpace DC |
| container_title | Algebra and Discrete Mathematics |
| 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.
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| first_indexed | 2025-12-07T20:59:28Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-153350 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1726-3255 |
| language | English |
| last_indexed | 2025-12-07T20:59:28Z |
| publishDate | 2014 |
| publisher | Інститут прикладної математики і механіки НАН України |
| record_format | dspace |
| spelling | Lezama, O. Gallego, C. 2019-06-14T03:27:01Z 2019-06-14T03:27:01Z 2014 Matrix approach to noncommutative stably free modules and Hermite rings / O. Lezama, C. Gallego // Algebra and Discrete Mathematics. — 2014. — Vol. 18, № 1. — С. 109–137. — Бібліогр.: 26 назв. — англ. 1726-3255 2010 MSC:16D40; 15A21. https://nasplib.isofts.kiev.ua/handle/123456789/153350 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. en Інститут прикладної математики і механіки НАН України Algebra and Discrete Mathematics Matrix approach to noncommutative stably free modules and Hermite rings Article published earlier |
| spellingShingle | Matrix approach to noncommutative stably free modules and Hermite rings Lezama, O. Gallego, C. |
| 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 |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/153350 |
| work_keys_str_mv | AT lezamao matrixapproachtononcommutativestablyfreemodulesandhermiterings AT gallegoc matrixapproachtononcommutativestablyfreemodulesandhermiterings |