Affiliation:
1. Department of Mathematics, Hunan Normal University, Changsha 410006, China
Abstract
In this paper, we introduce a new class of rings, the QB∞-rings. We investigate necessary and sufficient conditions under which an exchange ring is a QB∞-ring. The modules over an exchange QB∞-ring are studied. Also, we prove that every regular square matrix over an exchange QB∞-ring admits a diagonal reduction by pseudo-invertible matrices.
Publisher
World Scientific Pub Co Pte Lt
Subject
Applied Mathematics,Algebra and Number Theory
Cited by
2 articles.
订阅此论文施引文献
订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献
1. Quasiunit regularity and QB-rings;Ukrainian Mathematical Journal;2012-08
2. EXTENSIONS OF GENERALIZED STABLE RINGS;Bulletin of the Korean Mathematical Society;2009-11-30