ON GRADED 2-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 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. [ABSTRACT FROM AUTHOR]