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

‎Let G be a group with identity e and R be a multi- plicative 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 hy- perideals. 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.