Homology of commutative algebras and an invariant of Simis and Vasconcelos (Q1076736)

With any finitely generated ideal in a commutative ring R is associated a module \(\delta\) (I) (Simis and Vasconcelos). The main result asserts that for any finitely generated ideal I of a k-algebra R there is a natural isomorphism \(\delta (I)\cong H_ 2(R, R/I, R/I)\), where \(H_ 2(R, R/I, R/I)\) is the second André-Quillen homology of the R-algebra R/I.