Affiliation:
1. Department of Mathematics, Zhejiang Normal University, Jinhua 321004, People's Republic of China
Abstract
In this paper, we investigate the necessary and sufficient conditions on exchange rings, under which every regular matrix admits diagonal reduction. Also we show that an exchange ring R is strongly separative if and only if for any finitely generated projective right R-module C, if A and B are any right R-modules such that 2C⊕A≅C⊕B, then C⊕A≅B.
Publisher
World Scientific Pub Co Pte Lt
Subject
Applied Mathematics,Algebra and Number Theory
Cited by
5 articles.
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1. On Hermitian endomorphism rings;Journal of Algebra and Its Applications;2017-10-04
2. On Exchange Hermitian Rings;Algebra Colloquium;2010-03
3. Cancellation of Small Projectives Over Exchange Rings;Communications in Algebra;2009-06-04
4. Strong separativity over exchange rings;Czechoslovak Mathematical Journal;2008-06
5. Extensions of Exchange QB-Rings;Algebra Colloquium;2006-12