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On the vanishing and non-rigidity of the André-Quillen (co)homology
Planas Vilanova, Francesc d'Assís
Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada I; Universitat Politècnica de Catalunya. EGSA - Equacions Diferencials, Geometria, Sistemes Dinàmics i de Control, i Aplicacions
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.
Algebra, Homological
Homology of commutative rings
Homologia, Teoria d'
Classificació AMS::13 Commutative rings and algebras::13D Homological methods
Attribution-NonCommercial-NoDerivs 2.5 Spain

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