Get 20M+ Full-Text Papers For Less Than $1.50/day. Start a 14-Day Trial for You or Your Team.

Learn More →

Exchange Rings Satisfying the n-Stable Range Condition, II

Exchange Rings Satisfying the n-Stable Range Condition, II This is a continuation of the paper [14]. It is shown that any finite subdirect product of exchange rings satisfying the n-stable range condition is still an exchange ring satisfying the n-stable range condition. Furthermore, we give necessary and sufficient conditions on matrices over an exchange ring R, under which R satisfies the n-stable range condition. This generalizes the corresponding results for unit-regular rings and the stable range one condition. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Algebra Colloquium Springer Journals

Exchange Rings Satisfying the n-Stable Range Condition, II

Chen, Huanyin; Li, Fu-an
Algebra Colloquium , Volume 10 (1) – Jan 1, 2003
Download PDF
8 pages

Loading next page...
 
/lp/springer-journals/exchange-rings-satisfying-the-n-stable-range-condition-ii-lm0KUY1eX1
Publisher
Springer Journals
Copyright
Copyright © 2003 by AMSS CAS
Subject
Mathematics; Algebra; Algebraic Geometry
ISSN
1005-3867
eISSN
0219-1733
DOI
10.1007/s100110300000
Publisher site
See Article on Publisher Site

Abstract

This is a continuation of the paper [14]. It is shown that any finite subdirect product of exchange rings satisfying the n-stable range condition is still an exchange ring satisfying the n-stable range condition. Furthermore, we give necessary and sufficient conditions on matrices over an exchange ring R, under which R satisfies the n-stable range condition. This generalizes the corresponding results for unit-regular rings and the stable range one condition.

Journal

Algebra Colloquium – Springer Journals

Published: Jan 1, 2003

There are no references for this article.