Main Injective Rings

We refer to those injective modules that determine every left exact preradical and that we called main injective modules in a preceding article, and we consider left main injective rings, which as left modules are main injective modules. We prove some properties of these rings, and we characterize Q...

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Bibliographic Details
Published in:Communications in algebra 2011-03, Vol.39 (4), p.1226-1233
Main Authors: Raggi, Francisco, Ríos, José, Rincón, Hugo, Fernández-Alonso, Rogelio
Format: Article
Language:English
Subjects:
Algebra
Main injective modules
Main injective rings
Modules
Preradicals
QF-rings
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Summary:We refer to those injective modules that determine every left exact preradical and that we called main injective modules in a preceding article, and we consider left main injective rings, which as left modules are main injective modules. We prove some properties of these rings, and we characterize QF-rings as those rings which are left and right main injective.
ISSN:0092-7872
1532-4125
DOI:10.1080/00927871003639345