Abstract
For a given idealI of a commutative ringA, B=A/I, the vanishing of the second Andre-Quillen (co)homology functorH 2 (A, B, δ) is characterized in terms of the canonical homomorphism α:S(I)→R(I) from the symmetric algebra of the idealI onto its Rees algebra. This is done by introducing a Koszul complex that characterizes commutative graded algebras which are symmetric algebras.
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