On Graded Jgr-Prime Submodules

In this paper, we obtain several results concerning graded Jgr-prime submodules over a commutative graded ring. For example, we give fa characterization of graded Jgr-prime submodules and results related to residual of graded Jgr-prime submodules. Also, the relations between graded Jgr-prime submodules and graded prime submodules of D are studied. In addition, we present the necessary and sufficient condition for graded submodules to be graded Jgr-prime submodules.

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Publication Details

Journal
BULLETIN OF THE KARAGANDA UNIVERSITY-MATHEMATICS
Published
2025-03-28
DOI
https://doi.org/10.31489/2025m1/4-11
Primary Topic
Rings, Modules, and Algebras
Type
article
Field-Weighted Citation Impact
0.00
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article

On Graded Jgr-Prime Submodules

Khaldoun Al-Zoubi, Mohammed Al-Dolat, Malak Alnimer
BULLETIN OF THE KARAGANDA UNIVERSITY-MATHEMATICS
Rings, Modules, and Algebras
article

On Graded Jgr-Prime Submodules

Khaldoun Al-Zoubi, Mohammed Al-Dolat, Malak Alnimer
article en

Abstract

In this paper, we obtain several results concerning graded Jgr-prime submodules over a commutative graded ring. For example, we give fa characterization of graded Jgr-prime submodules and results related to residual of graded Jgr-prime submodules. Also, the relations between graded Jgr-prime submodules and graded prime submodules of D are studied. In addition, we present the necessary and sufficient condition for graded submodules to be graded Jgr-prime submodules.

BULLETIN OF THE KARAGANDA UNIVERSITY-MATHEMATICSVol. 117(1)
Jordan University of Science and Technology (JO)
Openalex Percentile: Top 90%
Rings, Modules, and Algebras
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