Linkage of modules and the Serre conditions

Mohammad T. Dibaei; Arash Sadeghi

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arXiv · 1407.6544

Linkage of modules and the Serre conditions

Mohammad T. Dibaei·Arash Sadeghi

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Abstract

Let $R$ be semiperfect commutative Noetherian ring and $C$ be a semidualizing $R$--module. The connection of the Serre condition $(S_n)$ on a horizontally linked $R$-module of finite $\gc$-dimension with the vanishing of certain cohomology modules of its linked module is discussed. As a consequence, it is shown that under some conditions Cohen-Macaulayness is preserved under horizontally linkage.

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Mohammad T. Dibaei, Arash Sadeghi. 2015-02-11. Linkage of modules and the Serre conditions. https://arxiv.org/abs/1407.6544

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