2002Journal of Liaocheng Teachers UniversityRequires access

Some Characterizations of Strongly Regular Rings

Pan Yong

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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.

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Available 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.

Key concepts: Von Neumann regular ring, Mathematics, Injective function, Simple (philosophy), Ring (chemistry), Combinatorics, Regular ring, Local ring

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