Linkage of finite \(\mathsf{G}_{C}\)-dimension modules
type: Item
instance of: scholarly article
title: Linkage of finite \(\mathsf{G}_{C}\)-dimension modules
zbMATH Open document ID: 1357.13017
author: Arash Sadeghi
published in: Journal of Pure and Applied Algebra
publication date: 2017-01-23T00:00:00Z
full work available at URL: https://arxiv.org/abs/1507.00036
review text: In the paper under review, the author studies further the linkage of modules. More precisely, Let \(R\) be a semiperfect commutative Noetherian ring and \(C\) a semidualizing \(R\)-module. 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.
reviewed by: Siamak Yassemi
Mathematics Subject Classification ID: 13C15
Mathematics Subject Classification ID: 13D07
Mathematics Subject Classification ID: 13D02
Mathematics Subject Classification ID: 13H10
zbMATH DE Number: 6676880
zbMATH Keywords: linkage
zbMATH Keywords: Gorenstein dimension
zbMATH Keywords: Serre condition
MaRDI profile type: Publication
OpenAlex ID: W2963232536
arXiv ID: 1507.00036
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DOI: 10.1016/J.JPAA.2016.09.015
description: scientific article