Geodesic
$FP$-injective and weakly quasi-Frobenius rings
Zapiski Nauchnykh Seminarov POMI, Problems in the theory of representations of algebras and groups. Part 6, Tome 265 (1999), pp. 110-129 
G. A. Garkusha. $FP$-injective and weakly quasi-Frobenius rings. Zapiski Nauchnykh Seminarov POMI, Problems in the theory of representations of algebras and groups. Part 6, Tome 265 (1999), pp. 110-129. http://geodesic.mathdoc.fr/item/ZNSL_1999_265_a7/
@article{ZNSL_1999_265_a7,
     author = {G. A. Garkusha},
     title = {$FP$-injective and weakly {quasi-Frobenius} rings},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {110--129},
     year = {1999},
     volume = {265},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_1999_265_a7/}
}
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The classes of $FP$-injective and weakly quasi-Frobenius rings are investigated. The properties for both classes of rings are closely linked with embedding of finitely presented modules in $fp$-flat and free modules respectively. Using these properties, we characterize the classes of coherent CF- and FGF-rings. Moreover, it is proved that the group ring $RG$ is $FP$-injective (weakly quasi-Frobenius) if and only if the ring $R$ is $FP$-injective (weakly quasi-Frobenius) and $G$ is locally finite.