(n − 1, n)-weakly prime submodules in direct product of modules

Ebrahimpour, M.

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Journal of Hyperstructures

Article . 2017

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mEDRA

Article . 2017

Data sources: mEDRA

(n − 1, n)-weakly prime submodules in direct product of modules

descriptionPublicationkeyboard_double_arrow_right Article 01 Jun 2017 English Publisher:University of Mohaghegh ArdabiliJournal:Journal of Hyperstructures (issn: 2251-8436,

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Authors: Ebrahimpour, M.;

doi: 10.22098/jhs.2017.2657

(n − 1, n)-weakly prime submodules in direct product of modules

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Abstract

Let n ≥ 2 be a positive integer, R be a commutative ring with identity and M be a unitary R-module . In this paper we study the (n − 1, n)-weakly prime submodules of direct product of modules. Also, we show that for some special cases, every proper submodule is (n − 1, n)-weakly prime.

Keywords

n)-weakly prime submodule, prime submodule, (n − 1, QA1-939, quasi-local ring, weakly prime submodule, Mathematics

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