Characterizations and properties of GS-weakly regular rings

الملخص EN

Right (resp.left) s-weakly regular rings was first introduced by V.Gupta in 1984.

Now, in the present paper we introduce and study a new generalization of right (resp.left) s-weakly regular rings, which is called right (resp.left) gs-weakly regular rings as for each a E R ; there exists a positive integer n = n (a) ; depending on a such that a E aRanR (resp.

A E RanRa ).

Moreover, giving several characterizations,properties,main results of it and related it with other types of modules such as at modules and GP-injective modules.