Fp-injective and Weakly Quasi-frobenius Rings
نویسندگان
چکیده
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 R(G) is FP -injective (weakly quasi-Frobenius) if and only if the ring R is FP -injective (weakly quasi-Frobenius) and the group G is locally finite.
منابع مشابه
Structure of Fp-injective and Weakly Quasi-frobenius Rings
In the present paper new criteria for classes of FP -injective and weakly quasi-Frobenius rings are given. Properties of 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 classes of coherent CF and FGF-rings. Moreover, it is proved that the group ring R(G) is FP -injective (resp. we...
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