Linkage of finite \(\mathsf{G}_{C}\)-dimension modules

DOI10.1016/J.JPAA.2016.09.015zbMATH Open1357.13017arXiv1507.00036OpenAlexW2963232536MaRDI QIDQ503803

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Publication date: 23 January 2017

Published in: (Search for Journal in Brave)

Abstract: Let R be a semiperfect commutative Noetherian ring and C a semidualizing R-module. We study the theory of linkage for modules of finite G_C-dimension. For a horizontally linked R-module M of finite G_C-dimension, the connection of the Serre condition (S_n) with the vanishing of certain relative cohomology modules of its linked module is discussed.

Full work available at URL: https://arxiv.org/abs/1507.00036

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