A GENERALIZATION OF PRIME HYPERIDEALS IN KRASNER HYPERRINGS

Abstract

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.

Keywords

• ‎prime hyperideal‎
• 2-absorbing hyperideal‎
• ‎krasner hyperring