Linkage of finite -dimension modules

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• 作者：Arash Sadeghi ^{sadeghiarash61@gmail.com}
• 关键词：13C15 ; 13D07 ; 13D02 ; 13H10
• 刊名：Journal of Pure and Applied Algebra
• 出版年：2017
• 出版时间：June 2017
• 年：2017
• 卷：221
• 期：6
• 页码：1344-1365
• 全文大小：511 K
• 卷排序：221

文摘

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