A GENERALIZATION OF PRIME HYPERIDEALS IN KRASNER HYPERRINGS

In this paper, ‎we extend the notion of 2-absorbing ideal on rings to Krasner hyperrings. In fact, we give a characterization of new generalization of prime hyperideals in Krasner hyperrings by introducing 2-absorbing hyperideals‎. ‎We present some illustrative examples. Also, we study fundamental properties of 2-absorbing hyperideals on Krasner hyperrings and investigate some related results.

کلیدواژه ها:

‎Prime hyperideal‎ ، 2-absorbing hyperideal‎ ، ‎Krasner hyperring