On sequentially Cohen-Macaulay modules

被引：29

作者：

Cuong, Nguyen Tu ^{[1
]}

Cuong, Doan Trung ^{[1
]}

机构：

[1] Inst Math, Hanoi 10307, Vietnam

来源：

KODAI MATHEMATICAL JOURNAL | 2007年 / 30卷 / 03期

关键词：

sequentially Cohen-Macaulay module; dimension filtration; good system of parameters; Stanley-Reisner ring;

D O I：

10.2996/kmj/1193924944

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we introduce the notion of good systems of parameters with respect to certain increasing filtration of submodules of a Noetherian module in order to prove several characterizations of sequentially Cohen-Macaulay modules in terms of good systems of parameters. The sequential Cohen-Macaulayness of Stanley-Reisner rings of small embedding dimension are also examined.

引用

页码：409 / 428

页数：20

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