Volume 27 , Issue 2 , PP: 297-302, 2026 | Cite this article as | XML | Html | PDF | Full Length Article
Malak Alnimer 1 * , Khaldoun Al-Zoubi 2
Doi: https://doi.org/10.54216/IJNS.270225
Let 0 be a group, Υ be a 0-graded commutative ring with unity 1 and M a graded Υ-module. Our goal in this paper, introducing the concept of graded weakly Jgr -classical prime submodule as a generalization of graded weakly classical prime submodule and offering several results pertinent of graded weakly Jgr - classical prime submodules. For instance, we give characterizations of graded weakly Jgr -classical prime submodule. Also, we give some restrictions for graded submodule to be a graded weakly Jgr -classical prime submodule. A proper graded submodule V of M is said to be a graded weakly Jgr -classical prime submodule of M if, whenever 0̸ = abx ∈ V where a, b ∈ h(Υ) and x ∈ h(M), then either ax ∈ V + Jgr (M) or bx ∈ V + Jgr (M), The symbol Jgr (M) indicates the graded Jacobson radical of Υ-module M.
Graded weakly Jgr -classical prime submodule , Graded Jgr -classical prime submodule , Graded weakly classical prime submodule , Graded classical prime submodule
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