Author: Grigory Garkusha

Journal-ref: Zap. Nauchn. Sem. S.-Peterburg Otd.
Mat. Inst. Steklov. (POMI), 265 (1999), 110-129. 
(Russian). Engl. transl. appears in Journal of 
Math. Sciences (Kluwer).

Abstract: 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 describe the classes of coherent CF- 
and FGF-rings. Moreover, it is proved that a group 
ring R(G) is FP-injective (resp. weakly quasi-Frobenius) 
if and only if a ring R is FP-injective (resp. 
weakly quasi-Frobenius) and a group G is locally finite.