On m-regular rings

الملخص EN

As a generalization of regular rings, we introduce the notion, of m-regular rings, that is for all aR, there is a fixed positive integer m such that am is a Von-Neumann regular element.

Some characterization and basic properties of these rings will be given.

Also, we study the relation-ship between them and Von-Neumann regular rings, -regular rings, reduced rings, locally rings, uniform rings and 2-primal rings.