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ON đŻ-NONCOSINGULAR MODULES
Published online by Cambridge University Press:Â 02 July 2009
Abstract
In this paper we introduce đŻ-noncosingular modules. Rings for which all right modules aređŻ-noncosingular are shown to be precisely those for which every simple right module is injective. Moreover, for any ring R we show that the right R-module R is đŻ-noncosingular precisely when R has zero Jacobson radical. We also study the đŻ-noncosingular condition in association with (strongly) FI-lifting modules.
MSC classification
- Type
- Research Article
- Information
- Bulletin of the Australian Mathematical Society , Volume 80 , Issue 3 , December 2009 , pp. 462 - 471
- Copyright
- Copyright © Australian Mathematical Publishing Association Inc. 2009
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