A GENERALIZATION OF PRIME HYPERIDEALS IN KRASNER HYPERRINGS

Document Type : Original Manuscript

Authors

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

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

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