FP-injective and weakly quasi-Frobenius rings

Grigory Garkusha

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arXiv · math/9911137

FP-injective and weakly quasi-Frobenius rings

Grigory Garkusha

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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 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.

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BibTeX RIS

Grigory Garkusha. 1999-12-30. FP-injective and weakly quasi-Frobenius rings. https://arxiv.org/abs/math/9911137

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