Sur l’annulation du deuxième foncteur de (co)homologie d’André-Quillen
Copyright policy )Sur l’annulation du deuxième foncteur de (co)homologie d’André-Quillen
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.
Teoria d', Homologia, Commutative rings, ideal, Homologia, Teoria d', Anells commutatius, Article, Classificació AMS::13 Commutative rings and algebras::13D Homological methods, Algebra, 510.mathematics, symmetric algebras, :13 Commutative rings and algebras::13A General commutative ring theory [Classificació AMS], Homological, Classificació AMS::13 Commutative rings and algebras::13A General commutative ring theory, :13 Commutative rings and algebras::13D Homological methods [Classificació AMS], Algebra, Homological
Teoria d', Homologia, Commutative rings, ideal, Homologia, Teoria d', Anells commutatius, Article, Classificació AMS::13 Commutative rings and algebras::13D Homological methods, Algebra, 510.mathematics, symmetric algebras, :13 Commutative rings and algebras::13A General commutative ring theory [Classificació AMS], Homological, Classificació AMS::13 Commutative rings and algebras::13A General commutative ring theory, :13 Commutative rings and algebras::13D Homological methods [Classificació AMS], Algebra, Homological
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