About the Cohen-Macaulay defect and almost Cohen-Macaulay rings

被引：0

作者：

Ionescu, Cristodor ^{[1
]}

机构：

[1] Romanian Acad, Sim Stoilow Inst Math, POB 1-764, Bucharest 014700, Romania

来源：

JOURNAL OF ALGEBRA AND ITS APPLICATIONS | 2024年

关键词：

Cohen-Macaulay defect; almost Cohen-Macaulay ring; almost Cohen-Macaulay module; Serre type condition;

D O I：

10.1142/S0219498826500672

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We notice the connection between almost Cohen-Macaulay rings and the Cohen-Macaulay defect. We introduce a Serre-type condition for modules that is connected to the Cohen-Macaulay defect in the same way that the condition (S-n) is connected to the Cohen-Macaulay modules.

引用

页数：12

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