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dc.contributor.authorPlanas Vilanova, Francesc d'Assís
dc.contributor.otherUniversitat Politècnica de Catalunya. Departament de Matemàtica Aplicada I
dc.description.abstractLet 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.
dc.format.extent9 pages
dc.rightsAttribution-NonCommercial-NoDerivs 2.5 Spain
dc.subject.lcshAlgebra, Homological
dc.subject.otherHomology of commutative rings
dc.titleOn the vanishing and non-rigidity of the André-Quillen (co)homology
dc.subject.lemacHomologia, Teoria d'
dc.contributor.groupUniversitat Politècnica de Catalunya. EGSA - Equacions Diferencials, Geometria, Sistemes Dinàmics i de Control, i Aplicacions
dc.subject.amsClassificació AMS::13 Commutative rings and algebras::13D Homological methods
dc.rights.accessOpen Access

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