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Keywords

regular rings
centrally regular rings
indecomposable
multiplicative system
Jacobson radical

Abstract

In this paper, we introduce a new ring which is a generalization of Von Neumann  regular rings and we call it a centrally regular ring. Several properties of this ring are proved and we have extended many properties of regular rings to centrally regular rings. Also we have determined some conditions under which regular and centrally regular rings are equivalent.   
https://doi.org/10.33899/csmj.2009.163808
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