On graded absorbing hyperideals in graded Krasner hyperrings

Document Type : Original Article


1 Department of Mathematics, Payame Noor University, Tehran, Iran

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

3 Department of mathematics, Payame Noor University, P.O. Box 19395-4697, Tehran, Iran

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


Let G be a group (monoid) with identity e and R be a commutative Krasner hyperring. In this paper, we introduce the concepts of graded absorbing hyperideals of a graded Krasner hyperring such as, graded 2-absorbing hyperideals, graded n-absorbing hyperideals and graded 2-absorbing subhypermodules. Some basic properties of these structures  and characterizations of these graded absorbing hyperideals and homogeneous components are proved.


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