FP-injective and weakly quasi-Frobenius rings

被引：0
|
作者：
Garkusha G.A. [1 ]
机构：
来源：
Journal of Mathematical Sciences | 2002年 / 112卷 / 3期
关键词：
Group Ring; Free Module;
D O I：
10.1023/A:1020334701055
中图分类号：
学科分类号：
摘要：
The classes of FP-injective and weakly quasi-Frobenius rings are investigated. The properties of both classes of rings are closely related to the 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, respectively) if and only if the ring R is FP-injective (weakly quasi-Frobenius) and G is locally finite. © 2002 Plenum Publishing Corporation.
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页码：4303 / 4312
页数：9
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