Sur L'Annulation du deuxième foncteur de (co)homologie D'André-Quillen
For a given ideal I of a commutative ring ç A,B = A/I, the vanishing of the second André-Quillen (co)homology functor H2(A,B,*) is characterized in terms of the canonical homomorphism a:S(I)->R(I) from the symmetric algebra of the ideal I onto its Rees algebra. This is done by introducing a Koszu...
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| Formato: | artículo |
| Fecha de publicación: | 1995 |
| País: | España |
| Recursos: | Universitat Politècnica de Catalunya (UPC) |
| Repositorio: | UPCommons. Portal del coneixement obert de la UPC |
| Idioma: | inglés |
| OAI Identifier: | oai:upcommons.upc.edu:2117/1192 |
| Acesso em linha: | https://hdl.handle.net/2117/1192 |
| Access Level: | acceso abierto |
| Palavra-chave: | Commutative rings Algebra, Homological ideal symmetric algebras Anells commutatius Homologia, Teoria d' Classificació AMS::13 Commutative rings and algebras::13A General commutative ring theory Classificació AMS::13 Commutative rings and algebras::13D Homological methods |
| Resumo: | For a given ideal I of a commutative ring ç A,B = A/I, the vanishing of the second André-Quillen (co)homology functor H2(A,B,*) is characterized in terms of the canonical homomorphism a:S(I)->R(I) from the symmetric algebra of the ideal I onto its Rees algebra. This is done by introducing a Koszul complex that characterizes commutative graded algebras which are symmetric algebras. |
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