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 |
| Published: |
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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| _version_ | 1832562221748584448 |
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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 |