On Graded ۲-absorbing Primary Hyperideals of a Graded Multiplicative Hyperring

‎Let G be a group with identity e ‎and ‎‎‎R be a multiplicative ‎hyperring‎‎. ‎W‎e introduce and study the notions of graded ۲-absorbing and graded ۲-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 ‎‎‎۲‎‎‎-absorbing ‎hyperideal.‎

کلیدواژه ها:

‎Graded multiplicative hyperring ، Graded ۲-absorbing hyperideal ، Graded ۲-absorbing primary hyperideal