Geodesic
On generalizations of injectivity
Acta mathematica Universitatis Comenianae, Tome 75 (2006) no. 2 
Le Duc Thoang; Le Van Thuyet. On generalizations of injectivity. Acta mathematica Universitatis Comenianae, Tome 75 (2006) no. 2. http://geodesic.mathdoc.fr/item/AMUC_2006_75_2_a5/
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     title = {On generalizations of injectivity},
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     year = {2006},
     volume = {75},
     number = {2},
     url = {http://geodesic.mathdoc.fr/item/AMUC_2006_75_2_a5/}
}
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A ring R is called right GP-injective if for every nonzero element a in R , there exists a positive integer n such that an 1 0 and any right R -homomorphism of anR 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.