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.