On graded 2-absorbing and graded weakly 2-absorbing ideals

Authors : Khaldoun ALZOUBİ, Rashid ABUDAWWAS, Seçil ÇEKEN

Pages : 724-731

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Publication Date : 2019-06-15

Article Type : Research Paper

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 insert ignore into journalissuearticles values(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