Affiliation:
1. Department of Mathematics, Hunan Normal University, Changsha 410006, China
Abstract
In this paper, we characterize exchange QB-rings by endomorphisms of progenerators. Let A be a progenerator over an exchange ring R. It is shown that R is a QB-ring if and only if whenever f, g, h ∈ End RA satisfy fA + gA = hA, there exist [Formula: see text] and l ∈ End RA such that fk + gl = h. Some applications are also obtained.
Publisher
World Scientific Pub Co Pte Lt
Subject
Applied Mathematics,Algebra and Number Theory