Volume 25 • Issue 4 • PP: 73-79 • 2025
On Gr-2-nil ideals of graded commutative rings
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© 2025 The Author(s). Published by ASPG. This article is licensed under the Creative Commons Attribution 4.0 International License (CC BY 4.0).
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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.
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References
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