Matrix approach to noncommutative stably free modules and Hermite rings

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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Bibliographic Details
Date:2018
Main Authors: Lezama, Oswaldo, Gallego, Claudia
Format: Article
Language:English
Published: Lugansk National Taras Shevchenko University 2018
Subjects:
noncommutative rings and modules
stably free modules
Hermite rings
matrix methods in homological algebra
16D40
15A21
Online Access:https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1050
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Journal Title:Algebra and Discrete Mathematics

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Algebra and Discrete Mathematics
id admjournalluguniveduua-article-1050
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
institution Algebra and Discrete Mathematics
baseUrl_str
datestamp_date 2018-04-26T02:28:53Z
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
first_indexed 2025-12-02T15:24:44Z
last_indexed 2025-12-02T15:24:44Z
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