Comparability, stability, and completions of ideals

被引：8

作者：

Lu, DC ^{[1
]}

Li, QS ^{[1
]}

Tong, WT ^{[1
]}

机构：

[1] Nanjing Univ, Dept Math, Nanjing 210093, Peoples R China

来源：

COMMUNICATIONS IN ALGEBRA | 2004年 / 32卷 / 07期

基金：

中国国家自然科学基金;

关键词：

regular ring; 1-comparability; N*-complete ideal; compact space;

D O I：

10.1081/AGB-120037403

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we study the properties of 1-comparability and stable range one condition on ideals of regular rings, and we use these results to investigate normalized pseudo-rank functions on ideals and N*-complete ideals. These will generalize the corresponding results of Goodearl. Finally, we give some sufficient conditions under which IP(I) is compact.

引用

页码：2617 / 2634

页数：18

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