J-hyperideals and related generalizations ‎in ‎ ‎multiplicative ‎hyperrings

In this paper, we define the concept of J-hyperideals which is a generalization of n-hyperideals. A proper hyperideal I of a multiplicative hyperring R is said to be a J-hyperideal if x, y ∈ R such that x ◦ y ⊆ I, then either x ∈ J(R) or y ∈ I. We study and investigate the behavior of the J-hyperideals to introduce several results. Moreover, we extend the notion of J-hyperideals to quasi J-hyperideals and 2-absorbing J-hyperideals. Various characterizations of them are provided.