A GENERALIZATION OF PRIME HYPERIDEALS IN KRASNER HYPERRINGS

نویسندگان

1 Department of Mathematics, Yazd University, Yazd, Iran.

2 Faculty of Engineering, Ardakan University, P.O. Box 184, Ardakan, Iran.

doi
10.22044/jas.2019.6407.1318
چکیده

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.