Semi-essentially prime modules
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Published:2023
Issue:6
Volume:26
Page:1725-1730
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ISSN:0972-0529
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Container-title:Journal of Discrete Mathematical Sciences and Cryptography
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language:
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Short-container-title:JDMSC
Author:
Al-Hakeem Mohammed Baqer Hashim,Al-Mothafar Nuhad Salim
Abstract
Let R be a commutative ring with 1 and M be a (left) unitary R – module. This essay gives generalizations for the notions prime module and some concepts related to it. We termed an R – module M as semi-essentially prime if annR (M) = annR (N) for every non-zero semi-essential submodules N of M. Given some of their advantages characterizations and examples, and we study the relation between these and some classes of modules.
Publisher
Taru Publications
Subject
Applied Mathematics,Algebra and Number Theory,Analysis