On sequentially Cohen-Macaulay modules

Kodai Mathematical Journal

Nguyen Tu Cuong¹  Doan Trung Cuong¹ 

[1] Institute of Mathematics

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

DOI  :  10.2996/kmj/1193924944

学科分类：数学（综合）

来源: Tokyo Institute of Technology, Department of Mathematics

【 摘 要 】

References(11)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.

【 授权许可】

Unknown