Regular sequences of ideals

被引：1
|
作者：
Jothilingam, P. [1 ]
Duraivel, T. [1 ]
Bose, Sibnath [2 ]
机构：
[1] Pondicherry Univ, Dept Math, Pondicherry, India
[2] St Edmunds Coll, Dept Math, Shillong, Meghalaya, India
来源：
BEITRAGE ZUR ALGEBRA UND GEOMETRIE-CONTRIBUTIONS TO ALGEBRA AND GEOMETRY | 2011年 / 52卷 / 02期
关键词：
Regular sequences; Depth; Projective dimension; Regular local ring;
D O I：
10.1007/s13366-011-0037-7
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, the idea of regular sequences of elements in a noetherian local ring is extended to the notion of regular sequences of ideals. First, we give some nice examples of regular sequences of ideals. Next, we prove a theorem that establishes a close connection between regular sequences of elements and regular sequences of ideals, when the latter are perfect ideals and the ring is regular.
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页码：479 / 485
页数：7
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