Weakly 2-Prime Sub-Modules

Authors

  • Mohammed Qader Rahman Republic of Iraq, Diyala Governorate, The General Directorate for Education of Diyala, https://orcid.org/0009-0004-7390-979X
  • Alaa A. Elewi Department of Mathematics, College of Science, University of Baghdad, Baghdad, Iraq
  • Mustafa Mohammed Hameed Department of Mathematics, College of Science, University of Baghdad, Baghdad, Iraq,

DOI:

https://doi.org/10.24996/ijs.2024.65.2.30

Keywords:

prime sub-module, weakly prime sub-module, 2-prime sub-module, weakly 2-prime sub-module, proper sub-module

Abstract

     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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Published

2024-02-29

Issue

Section

Mathematics

How to Cite

Weakly 2-Prime Sub-Modules. (2024). Iraqi Journal of Science, 65(2), 954-962. https://doi.org/10.24996/ijs.2024.65.2.30