ON GRADED n-1-ABSORBING PRIMARY IDEALS

Abdelhaq El Khalfi, Hinda Hamraoui, Hicham Laarabi

Abstract


Let G be a group with identity e, and let R be a G-graded commutative ring with 1 ̸= 0.
In this paper, we introduce and investigate graded n-1-absorbing primary ideals. We establish some properties of these ideals in graded rings and provide a characterization of graded rings in which every graded semi-primary ideal is a graded 1-absorbing primary ideal.


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