FP-injective and weakly quasi-Frobenius rings
Rings and Algebras
2007-05-23 v2
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.
Cite
@article{arxiv.math/9911137,
title = {FP-injective and weakly quasi-Frobenius rings},
author = {Grigory Garkusha},
journal= {arXiv preprint arXiv:math/9911137},
year = {2007}
}
Comments
AMSLatex, 15 pages