# 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} }

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

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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.…

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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…

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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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