# A GENERALIZATION OF PRIME HYPERIDEALS IN KRASNER HYPERRINGS

```@inproceedings{Ardekani2020AGO,
title={A GENERALIZATION OF PRIME HYPERIDEALS IN KRASNER HYPERRINGS},
author={Leili Kamali Ardekani and Bijan Davvaz},
year={2020}
}```
• Published 2020
• Mathematics
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.
3 Citations
J-prime hyperideals and their generalizations
Let R be a multiplicative hyperring with identity. In this paper, we define the concept of J-prime hyperideals which is a generalization of n-hyperideals and we will show some properties of them.
On 1-absorbing prime hyperideal and some of its generalizations
Let R be a multiplicative hyperring. In this paper, we define the concept of 1-absorbing prime hyperideals which is a generalization of the prime hyperideals. A proper hyperideal I of R is called a
Unifing the prime and primary hyperideals under one frame in a Krasner (m, n)-hyperring
Abstract Prime hyperideals and primary hyperideals as two of the most important structures in a Krasner (m, n)-hyperring are defferent from each other in many aspects. In this paper, we aim to define

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