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The classes of FP-injective and weakly quasi-Frobenius rings areinvestigated. The properties for both classes of rings are closely linked withembedding of finitely presented modules in fp-flat and free modulesrespectively. Using these properties, we describe the classes of coherent CFand FGF-rings. Moreover, it is proved that the group ring R(G) is FP-injective(resp. weakly quasi-Frobenius) if and only if the ring R is FP-injective (resp.weakly quasi-Frobenius) and the group G is locally finite.