On Graded 2-absorbing Primary Hyperideals of a Graded Multiplicative Hyperring

Document Type : Research Paper

Author

Department of Mathematics, Payame Noor University(PNU), P.O.BOX 19395-3697 Tehran, Iran.

Abstract

‎Let G be a group with identity e ‎and ‎‎R be a multiplicative ‎hyperring‎‎. ‎W‎e introduce and study the notions of graded 2-absorbing and graded 2-absorbing primary hyperideals of a graded multiplicative hyperring R which are generalizations of prime ‎hyperideals‎‎. ‎We present basic properties and characterizations of these graded hyperideals and homogeneous components‎. Among various results we prove that ‎the intersection of ‎‎‎two ‎graded‎ prime ‎hyperideals ‎is a‎ ‎graded ‎‎2‎-absorbing ‎hyperideal.‎

Keywords


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