Sur l’annulation du deuxième foncteur de (co)homologie d’André-Quillen |
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| Authors: | Francesc Planas-Vilanova |
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| Institution: | (1) Department de Matemàtica Aplicada I. ETSEIB, Universitat Politècnica de Catalunya, Diagonal 647, E-08028 Barcelona |
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| Abstract: | For a given idealI of a commutative ringA, B=A/I, the vanishing of the second André-Quillen (co)homology functorH
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(A, B, δ) is characterized in terms of the canonical homomorphism α:S(I)→R(I) from the symmetric algebra of the idealI onto its Rees algebra. This is done by introducing a Koszul complex that characterizes commutative graded algebras which
are symmetric algebras.
This article was processed by the author using the LATEX style filecljour1 from Springer-Verlag. |
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| Keywords: | |
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