On Graded Primary Ideals

Authors: MASHHOOR REFAI, KHALDOUN AL-ZOUBI

Abstract: Let G be a group and R be a G-graded commutative ring, i.e., R = \oplus_{g \in G} R_g and R_gR_h \subseteq R_{gh} for all g, h \in G. In this paper, we study the graded primary ideals and graded primary G-decomposition of a graded ideal.

Keywords: Graded rings, Graded primary ideals, Decomposition of graded ideals

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