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\in R such that x \circ y \subseteq I‎, ‎then either x \in J(R) or y \in 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 ۲-absorbing J-hyperideals‎. ‎Various characterizations of them are provided‎.

کلیدواژه ها:

J-hyperideal‎ ، ‎Quasi J-hyperideal‎ ، ‎۲-absorbing J-hyperideal