Some Characterizations of Strongly Regular Rings
Pan Yong
Abstract
Pan Yong
Abstract
A ring R is called strongly regular if for each a in R there exists 6 in R such that a = a2b. The aim of this paper is to investigate some SF-rings whose simple singular right (or left )R-modules are GP-injective. Several new characteristic properties of strongly regular rings are also given.
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A ring R is called strongly regular if for each a in R there exists 6 in R such that a = a2b. The aim of this paper is to investigate some SF-rings whose simple singular right (or left )R-modules are GP-injective. Several new characteristic properties of strongly regular rings are also given.
Key concepts: Von Neumann regular ring, Mathematics, Injective function, Simple (philosophy), Ring (chemistry), Combinatorics, Regular ring, Local ring