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Main Injective Rings
Authors:Francisco Raggi  José Ríos  Hugo Rincón
Institution:1. Instituto de Matemáticas , Universidad Nacional Autónoma de México, Area de la Investigación Científica , México;2. Facultad de Ciencias , Universidad Nacional Autónoma de Mexico , México
Abstract: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.
Keywords:Main injective modules  Main injective rings  Preradicals  QF-rings
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