Projectivity and flatness over the endomorphism ring of a finitely generated module
Let A be a ring and Λ a finitely generated A-module. We give necessary and sufficient conditions for projectivity and flatness of a module over the endomorphism ring of Λ.
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Main Authors: | , |
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Format: | Article |
Language: | English |
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Wiley
2004-01-01
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Series: | International Journal of Mathematics and Mathematical Sciences |
Online Access: | http://dx.doi.org/10.1155/S0161171204310082 |
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author | S. Caenepeel T. Guédénon |
author_facet | S. Caenepeel T. Guédénon |
author_sort | S. Caenepeel |
collection | DOAJ |
description | Let A be a ring and Λ a finitely generated A-module.
We give necessary and sufficient conditions for projectivity and
flatness of a module over the endomorphism ring of Λ. |
format | Article |
id | doaj-art-d18e4a6fbb7243b89510184d60058da9 |
institution | Kabale University |
issn | 0161-1712 1687-0425 |
language | English |
publishDate | 2004-01-01 |
publisher | Wiley |
record_format | Article |
series | International Journal of Mathematics and Mathematical Sciences |
spelling | doaj-art-d18e4a6fbb7243b89510184d60058da92025-02-03T01:23:08ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252004-01-012004301581158810.1155/S0161171204310082Projectivity and flatness over the endomorphism ring of a finitely generated moduleS. Caenepeel0T. Guédénon1Faculty of Applied Sciences, Vrije Universiteit Brussel (VUB), Brussels 1050, BelgiumFaculty of Applied Sciences, Vrije Universiteit Brussel (VUB), Brussels 1050, BelgiumLet A be a ring and Λ a finitely generated A-module. We give necessary and sufficient conditions for projectivity and flatness of a module over the endomorphism ring of Λ.http://dx.doi.org/10.1155/S0161171204310082 |
spellingShingle | S. Caenepeel T. Guédénon Projectivity and flatness over the endomorphism ring of a finitely generated module International Journal of Mathematics and Mathematical Sciences |
title | Projectivity and flatness over the endomorphism ring of a finitely generated module |
title_full | Projectivity and flatness over the endomorphism ring of a finitely generated module |
title_fullStr | Projectivity and flatness over the endomorphism ring of a finitely generated module |
title_full_unstemmed | Projectivity and flatness over the endomorphism ring of a finitely generated module |
title_short | Projectivity and flatness over the endomorphism ring of a finitely generated module |
title_sort | projectivity and flatness over the endomorphism ring of a finitely generated module |
url | http://dx.doi.org/10.1155/S0161171204310082 |
work_keys_str_mv | AT scaenepeel projectivityandflatnessovertheendomorphismringofafinitelygeneratedmodule AT tguedenon projectivityandflatnessovertheendomorphismringofafinitelygeneratedmodule |