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On co-isosimple modules and co-isoradical of modules
Authors:Alejandro Alvarado-García  César Cejudo-Castilla  Tania Gabriela Pérez-Quijano
Institution:1. Facultad de Ciencias, Universidad Nacional Autónoma de México, Circuito Exterior, C.U., Ciudad de México, México;2. Facultad de Ciencias Físico Matemáticas, Benemérita Universidad Autónoma de Puebla, Ciudad Universitaria, Puebla, México
Abstract:Abstract

In this paper we study “co-isosimple” modules, that is, those modules which are isomorphic to all of its non-zero quotients modules. This allows us to define and study “isomaximal” submodules, “isomax” modules and the “co-isoradical” of a module. We study some of its basic properties and we give a characterization of left V-ring using these concepts.

Communicated by Alberto Facchini
Keywords:Co-isosimple module  isomax module  isomaximal submodule  left Max ring  left V-ring
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