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Let R be a commutative ring containing a unit, and let be a left R-module. We define a proper sub-module N of an R-module M to be a weakly 2-prime sub-module if whenever , then either or . This concept is an expansion of the idea of a weakly 2-prime ideal, where an ideal P of R is said to be a weakly 2-prime ideal if for all implies or . Several characteristics of sub-modules that are weakly 2-prime are taken into account.
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Rahman et al. (Thu,) studied this question.
www.synapsesocial.com/papers/68e76cf5b6db6435876e2bc1 — DOI: https://doi.org/10.24996/ijs.2024.65.2.30
Mohammed Qader Rahman
Alaa A. Elewi
Mustafa Mohammed Hameed
Iraqi Journal of Science
University of Baghdad
University of Diyala
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