Volume 25 , Issue 4 , PP: 73-79, 2025 | Cite this article as | XML | Html | PDF | Full Length Article
Ala’a Abu Qayass 1 , Khaldoun Al-Zoubi 2
Doi: https://doi.org/10.54216/IJNS.250407
Let G be a group with identity e and let W be a G-graded ring. In this paper, we introduce and study the concept of Gr-2-nil ideals of W. We obtain many results concerning gr-2-nil ideals. Some characterizations of gr-2-nil ideals and their homogeneous components are given. A proper graded ideal I of W is said to be a gr-2-nil ideal of W if whenever rg, sh, ti ∈ h(W) with rgshti ∈ I, then either rgsh ∈ Gr (0) or rgti ∈ I or shti ∈ I.
gr-2-Nil ideals , gr-2-n-ideals , gr-(2, n)-ideals
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