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arXiv · 1705.10615

Linkage of modules with respect to a semidualizing module

Mohammad-T. Dibaei·Arash Sadeghi
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Abstract

The notion of linkage with respect to a semidualizing module is introduced. It is shown that over a Cohen-Macaulay local ring with canonical module, every Cohen-Macaulay module of finite Gorenstein injective dimension is linked with respect to the canonical module. For a linked module $M$ with respect to a semidualizing module, the connection between the Serre condition $(S_n)$ on $M$ with the vanishing of certain local cohomology modules of its linked module is discussed.

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Mohammad-T. Dibaei, Arash Sadeghi. 2017-05-27. Linkage of modules with respect to a semidualizing module. https://arxiv.org/abs/1705.10615

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