Graded φ-2-absorbing hyperideals in graded multiplicative hyperrings

Abstract

Let G be an abelian group with identity e. Let R be a graded multiplicative hyperring and [Formula: see text] be a function where [Formula: see text] is the set of graded hyperideals of [Formula: see text] and [Formula: see text] for every graded hyperideal I of R. In this paper, we introduce and study the concepts of graded [Formula: see text]-2-absorbing hyperideals and graded [Formula: see text]-2-absorbing primary hyperideals of [Formula: see text]. Moreover, we give a number of main results and the basic properties concerning these classes of graded hyperideals and their homogeneous components.