Universitat Politècnica de Catalunya
Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada I
Universitat Politècnica de Catalunya. EGSA - Equacions Diferencials, Geometria, Sistemes Dinàmics i de Control, i Aplicacions
1995
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.
Article
English
Commutative rings; Algebra, Homological; ideal; symmetric algebras; Anells commutatius; Homologia, Teoria d'; Classificació AMS::13 Commutative rings and algebras::13A General commutative ring theory; Classificació AMS::13 Commutative rings and algebras::13D Homological methods
http://creativecommons.org/licenses/by-nc-nd/2.5/es/
Open Access
Attribution-NonCommercial-NoDerivs 2.5 Spain
E-prints [72987]
