On the vanishing and non-rigidity of the André-Quillen (co)homology
Let I be an ideal of a commutative ring A, B=A/I. Given n>=2, we characterize the vanishing of the André-Quillen homology modules H_{p}(A,B,W) for all $B$-module $W$ and for all p, 2<=p<=n, in terms of some canonical morphisms. As a corollary, we obtain a new proof of a theorem of André. Fi...
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| Formato: | artículo |
| Fecha de publicación: | 1996 |
| 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:2117/1202 |
| Acesso em linha: | https://hdl.handle.net/2117/1202 |
| Access Level: | acceso abierto |
| Palavra-chave: | Algebra, Homological Homology of commutative rings Homologia, Teoria d' Classificació AMS::13 Commutative rings and algebras::13D Homological methods |
| Resumo: | Let I be an ideal of a commutative ring A, B=A/I. Given n>=2, we characterize the vanishing of the André-Quillen homology modules H_{p}(A,B,W) for all $B$-module $W$ and for all p, 2<=p<=n, in terms of some canonical morphisms. As a corollary, we obtain a new proof of a theorem of André. Finally, we construct an example of an ideal $I$ of a commutative ring $A$ such that H_{2}(A,B,W)=0 and H_{3}(A,B,W)=W for all B-module W. |
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