DJ-coessential submodules

Hasan, Amenah; Khalid, Wasan

doi:10.47974/JIM-1535

Open Access Research Article

DJ-coessential submodules

^*Amenah HasanCorresponding authoramna.hasan1203a@sc.uobaghdad.edu.iqDepartment of Mathematics College of Science University of BaghdadBaghdad, IraqView full profile → , Wasan KhalidWasan.hasan@sc.uobaghdad.edu.iqDepartment of Mathematics College of Science University of BaghdadBaghdad, IraqView full profile →

* Corresponding author · click or hover a name for details

pp. 981–986Vol. 26Issue 5August 2023DOI: 10.47974/JIM-1535XML

Received:: 09 Jun 2022
Accepted:: 07 Jul 2022
Published Online:: 15 Jul 2023
Article type:: Research Article
Language:: EN
Article no.:: JIM-1535
Pages:: 981–986

Abstract

Let R be an individual left R-module of the same type as W, with W being a ring containing one. W’s submodules N and K should be referred to as N and K, respectively that K ⊆ N ⊆ W if N/K <<_J (D_j (W)+K)/K, Then K is known as the D J-coessential submodule of Nin W as K⊆_ (Rce) N. Coessential submodule is a generalization of this idea. These submodules have certain interesting qualities, such that if a certain condition is met, the homomorphic image of D J- N has a coessential submodule called D J-coessential submodule.

Keywords

J-small submodule D_J-coessential submodules

Subject Classifications

16P7017A01

Acknowledgements

Obaid (SICC_5)

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