On generalizations of regular rings

الملخص EN

A ring R is defined to be right (left) SF-ring if every simple right (left) R-module is flat.

In this paper we study a condition under which SF-rings are regular.

Also we find some properties and main results for it by adding some conditions.

Furthermore, connections of such rings with other types of rings are studied.

Moreover, we continue to study SSF-rings.

Also, we find several properties for it and we connected such ring with other types of rings.