- Hacettepe Journal of Mathematics and Statistics
- Vol: 48 Issue: 3
- On graded 2-absorbing and graded weakly 2-absorbing ideals
On graded 2-absorbing and graded weakly 2-absorbing ideals
Authors : Khaldoun Al-zoubi, Rashid Abu-dawwas, Seçil Çeken
Pages : 724-731
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Publication Date : 2019-06-15
Article Type : Research
Abstract :In this paper, we introduce and study graded 2-absorbing and graded weakly 2-absorbing ideals of a graded ring which are different from 2-absorbing and weakly 2-absorbing ideals. We give some properties and characterizations of these ideals and their homogeneous components. We investigate graded (weakly) 2-absorbing ideals of $R_{1}\times R_{2}$ where $R_{1}$ and $R_{2}$ are two graded rings.Keywords : graded 2-absorbing ideal, graded weakly 2-absorbing ideal, graded weakly prime ideal, graded prime ideal