International Journal of Neutrosophic Science IJNS 2690-6805 2692-6148 10.54216/IJNS https://www.americaspg.com/journals/show/3422 2020 2020 Department of Mathematics and Statistics, Jordan University of Science and Technology, P.O.Box 3030, Irbid 22110, Jordan admin admin Department of Mathematics and Statistics, Jordan University of Science and Technology, P.O.Box 3030, Irbid 22110, Jordan Khaldoun Al Al-Zoubi 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. 2025 2025 73 79 10.54216/IJNS.250407 https://www.americaspg.com/articleinfo/21/show/3422