On graded 2-absorbing and graded weakly2-absorbing ideals

Abstract

In this paper, we introduce and study graded 2-absorbing and graded weakly 2-absorbingideals 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 homogeneouscomponents. We investigate graded (weakly) 2-absorbing ideals of$R_1$×$R_2$where$R_1$and$R_2$are two graded rings.