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: S. Caenepeel, T. Guédénon
Format: Article
Language:English
Published: Wiley 2004-01-01
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.
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institution Kabale University
issn 0161-1712
1687-0425
language English
publishDate 2004-01-01
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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