BALANCE FOR RELATIVE HOMOLOGY WITH RESPECT TO SEMIDUALIZING MODULES

Title & Authors
BALANCE FOR RELATIVE HOMOLOGY WITH RESPECT TO SEMIDUALIZING MODULES
Di, Zhenxing; Zhang, Xiaoxiang; Chen, Jianlong;

Abstract
We derive in the paper the tensor product functor -$\small{{\otimes}_R}$- by using proper $\small{\mathcal{GP}_C}$-resolutions, where C is a semidualizing module. After giving several cases in which different relative homologies agree, we use the Pontryagin duals of $\small{\mathcal{G}_C}$-projective modules to establish a balance result for such relative homology over a Cohen-Macaulay ring with a dualizing module D.
Keywords
semidualizing module;Gorenstein dimension;relative homology;balance;
Language
English
Cited by
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