2026-04-13T01:38:58Zhttps://recercat.cat/oai/request

oai:recercat.cat:2117/11922025-07-17T00:28:18Zcom_2072_1033col_2072_452950

Sur L'Annulation du deuxième foncteur de (co)homologie D'André-Quillen 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 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 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. 1995 Article https://hdl.handle.net/2117/1192 eng http://creativecommons.org/licenses/by-nc-nd/2.5/es/ Open Access Attribution-NonCommercial-NoDerivs 2.5 Spain 12 pages application/pdf