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.