On Graded Jgr-Prime Submodules
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Karagandy University of the name of acad. E.A. Buketov
Abstract
In this paper, several results concerning graded Jgr-prime submodules over a commutative graded ring were obtained. For example, we give 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 were studied. In addition, we present the necessary and sufficient condition
for graded submodules to be graded Jgr-prime submodules.
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Alnimer M., Al-Zoubi K., Al-Dolat M. On Graded Jgr-Prime Submodules./ M. Alnimer, K. Al-Zoubi, M. Al-Dolat// Bulletin of the Karaganda University. “Mathematics” Series. — 2025. — Vol. 30 - Iss. 1(117). — 5-12pp.