Class of Modules for Which Strongly Hopfian Modules are Noetherian

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Mankagna Albert Diompy, Ousseynou Bousso, Oumar Diankha

Abstract

Let R be an arbitrary ring and M a left R-module. In this paper we introduce the modules M such that every strongly Hopfian module in σ[M] is Noetherian. These modules will be called SF-modules. We characterize such modules and study their properties. Relationships between SF-modules and other classes of modules are given.

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