Abstract

A ring R is called right GP-injective if for every nonzero element a in R, there exists a positive integer n such that a n 6= 0 and any right R-homomorphism of a nR into R can be extended to one of R into R. A ring R is called right FSG if every finitely generated cofaithful right R-module is a generator in Mod-R. In this paper, we give some characterizations of PF rings, QF rings via GP-injective rings, FSG rings.