On n-weakly regular rings

الملخص EN

As a generalization of right weakly regular rings, we introduce the notion of right n-weakly regular rings, i.e.

for all aN(R), aaRaR.

In this paper, first give various properties of right n-weakly regular rings.

Also, we study the relation between such rings and reduced rings by adding some types of rings, such as NCI, MC2 and SNF rings.