N-duo and SRB rings

We study in this paper the strong regularity of right SSF-rings and obtain the following result: Let R be a right SSF-ring. If R satisfies one of the following conditions, then R is a strongly regular ring: 1) R is a IFP ring; 2) R is a left N-duo ring; 3) R is a right N-duo ring; 4) R is a SRB ring; 5) R is a SLB ring. AMS subject classification: Primary 16D50, 16E50; Secondary 16D40.