RINGS OF CLEAN INDEX 4 AND APPLICATIONS

被引：6

作者：

Lee, Tsiu-Kwen ^{[1
]}

Zhou, Yiqiang ^{[2
]}

机构：

[1] Natl Taiwan Univ, Dept Math, Taipei 10764, Taiwan

[2] Mem Univ Newfoundland, Dept Math & Stat, St John, NF A1C 5S7, Canada

来源：

COMMUNICATIONS IN ALGEBRA | 2013年 / 41卷 / 01期

基金：

加拿大自然科学与工程研究理事会;

关键词：

Clean index; Clean ring; Formal triangular matrix ring; Local ring; Morita Context; Uniquely clean ring;

D O I：

10.1080/00927872.2011.629266

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This article is a continuation of the work in [3] on clean index of rings. Motivated by recent work [5] on uniquely clean rings, the clean index of a ring was introduced in [3] to study the structure of rings, where arbitrary rings of clean indices 1, 2, and 3, respectively, are characterized. In particular, clean rings of clean indices 1, 2, and 3 are determined. In this article, we characterize the rings of clean index 4. As applications, clean rings of clean indices 4, 5, 6 and 7 are completely determined.

引用

页码：238 / 259

页数：22

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