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

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

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