On the invariance of certain types of generalized Cohen-Macaulay modules under Foxby equivalence

被引：0

作者：

Kosar Abolfath Beigi

Kamran Divaani-Aazar

Massoud Tousi

机构：

[1] Alzahra University,Department of Mathematics, Faculty of Mathematical Sciences

[2] Institute for Research in Fundamental Sciences (IPM),School of Mathematics

[3] Shahid Beheshti University,Department of Mathematics, Faculty of Mathematical Sciences

来源：

Czechoslovak Mathematical Journal | 2022年 / 72卷

关键词：

Auslander class; Bass class; Buchsbaum module; dualizing module; generalized Cohen-Macaulay module; local cohomology; semidualizing module; surjective Buchsbaum module; 13C14; 13D05; 13D45;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

Let R be a local ring and C a semidualizing module of R. We investigate the behavior of certain classes of generalized Cohen-Macaulay R-modules under the Foxby equivalence between the Auslander and Bass classes with respect to C. In particular, we show that generalized Cohen-Macaulay R-modules are invariant under this equivalence and if M is a finitely generated R-module in the Auslander class with respect to C such that C ⊗RM is surjective Buchsbaum, then M is also surjective Buchsbaum.

引用

页码：989 / 1002

页数：13

共 23 条

[1] On the invariance of certain types of generalized Cohen-Macaulay modules under Foxby equivalence
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