dc.contributor
Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada I
dc.contributor
Universitat Politècnica de Catalunya. EGSA - Equacions Diferencials, Geometria, Sistemes Dinàmics i de Control, i Aplicacions
dc.contributor.author
Planas Vilanova, Francesc d'Assís
dc.identifier
https://hdl.handle.net/2117/1192
dc.description.abstract
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.
dc.format
application/pdf
dc.rights
http://creativecommons.org/licenses/by-nc-nd/2.5/es/
dc.rights
Attribution-NonCommercial-NoDerivs 2.5 Spain
dc.subject
Commutative rings
dc.subject
Algebra, Homological
dc.subject
symmetric algebras
dc.subject
Anells commutatius
dc.subject
Homologia, Teoria d'
dc.subject
Classificació AMS::13 Commutative rings and algebras::13A General commutative ring theory
dc.subject
Classificació AMS::13 Commutative rings and algebras::13D Homological methods
dc.title
Sur L'Annulation du deuxième foncteur de (co)homologie D'André-Quillen