J-Prime submodules and some related concepts

Athab, Iman A.; Al-Mothafar, Nuhad S.

doi:10.47974/JDMSC-1630

Open Access Research Article

J-Prime submodules and some related concepts

^*Iman A. AthabCorresponding authormanaliathab971@gmail.comDepartment of Mathematics College of Science University of BaghdadDepartment of Mathematics College of Science University of BaghdadBaghdad, Baghdad, IraqView full profile → , Nuhad S. Al-Mothafarnuhad.salim@sc.uobaghdad.edu.iqDepartment of Mathematics College of Science University of BaghdadDepartment of Mathematics College of Science University of Baghdad Baghdad, Baghdad, IraqView full profile →

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pp. 1717–1724Vol. 26Issue 6September 2023DOI: 10.47974/JDMSC-1630 Crossmark XML

Received:: 03 Mar 2022
Published Online:: 01 Jun 2023
Article type:: Research Article
Language:: EN
Article no.:: JDMSC-1630
Pages:: 1717–1724

Abstract

Suppose R has been an identity-preserving commutative ring, and suppose V has been a legitimate submodule of R-module W. A submodule V has been J-Prime Occasionally as well as occasionally based on what’s needed, it has been acceptable: x ∈ V + J(W) according to some of that r ∈ R, x ∈ W and J(W) an interpretation of the Jacobson radical of W, which x ∈ V or r ∈ [V: W] = {s ∈ R; sW ⊆ V}. To that end, we investigate the notion of J-Prime submodules and characterize some of the attributes of has been classification of submodules.

Keywords

Prime submodules J-Prime submodules

Subject Classifications

16P7011A41

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