On the homology of regular quotients
Abstract
We construct a free resolution of R/Is over R where I R is generated by a (finite or infinite) regular sequence. This generalizes the Koszul complex for the case s=1. For s>1, we easily deduce that the algebra structure of R*(R/I,R/Is) is trivial and the reduction map R/Is R/Is-1 induces the trivial map of algebras.
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