# Contribution to study special kinds of hyperideals in ordered semihyperrings

@article{Omidi2017ContributionTS, title={Contribution to study special kinds of hyperideals in ordered semihyperrings}, author={Saber Omidi and Bijan Davvaz}, journal={Journal of Taibah University for Science}, year={2017}, volume={11}, pages={1083 - 1094} }

## 19 Citations

Connections of (m, n)-bi-quasi Hyperideals in Semihyperrings

- Mathematics
- 2020

We introduce the concept of left (resp. right) ( m,n )-bi-quasi hyperideals of semihyperrings as a generalization of n -bi-hyperideals, where m and n are positive integers. Then, we characterize…

A Study on
A
−
I
−
Γ
-Hyperideals and
m
,
n

- Mathematics
- 2021

The concept of almost interior - hyperideals ( - hyperideals) in ordered - semihypergroups is a generalization of the concept of interior - hyperideals ( - hyperideals). In this study, the…

A Note on the Connection between Ordered Semihyperrings

- MathematicsSymmetry
- 2021

The Galois connection between ordered semihyperrings are studied in detail and various interesting results are obtained.

On Fuzzy Ordered Hyperideals in Ordered Semihyperrings

- Computer Science, MathematicsAdv. Fuzzy Syst.
- 2019

It is shown that every fuzzy ordered quasi-hyperideal is a fuzzy ordered bi- hyperideal, and, in a regular ordered semihyperring, fuzzy ordered Semi-Hyperideal and fuzzy ordered Bi- Hyperideal coincide.

J-prime hyperideals and their generalizations

- Mathematics
- 2021

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.…

A note on two classes of hyperideals

- Mathematics
- 2021

Abstract. Let R be a commutative multiplicative hyperring with 1. In this paper, we define the concepts of r-hyperideal and n-hyperideal of the hyperring R which are two new classes of hyperideals.…

On 1-absorbing prime hyperideal and some of its generalizations

- Mathematics
- 2021

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…

Characterizations of intra-regular semirings by (m,n)-interior ideals

- Mathematics
- 2021

unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. Abstract. We give the concept of an (m,n)-interior ideal of a semiring, and we…

On uniformly primary hyperideals and uniformly 2-absorbing primary hyperideals

- Mathematics
- 2020

Let R be a multiplicative hyperring. In this paper, we introduce the concepts of uniformly primary hyperideal and uniformly 2absorbing primary hyperideal of R, which impose a certain boundedness…

A Study on A − I − Γ-Hyperideals and ( m , n ) − Γ-Hyperfilters in Ordered Γ-Semihypergroups

- Mathematics
- 2021

+e concept of almost interior Γ-hyperideals (A − I − Γ-hyperideals) in ordered Γ-semihypergroups is a generalization of the concept of interior Γ-hyperideals (I − Γ-hyperideals). In this study, the…

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Basic notions and properties of ordered semihyperrings

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On Ordered Ideals in Ordered Semirings

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An ordered semiring is a semiring S equipped with a partial ordersuch that the operations are monotonic and constant 0 is the least element of S. In this paper, several notions, for example, ordered…

Relationship between ordered semihypergroups and ordered semigroups by using pseudoorder

- MathematicsEur. J. Comb.
- 2015