Vanishing of stable homology with respect to a semidualizing module

Abstract

We investigate stable homology of modules over a commutative noetherian ring R with respect to a semidualzing module C, and give some vanishing results that improve/extend the known results. As a consequence, we show that the balance of the theory forces C to be trivial and R to be Gorenstein.

Keywords

Stable homology / semidualizing module / proper resolution

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