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$(m,n)$-Hyperideals in Ordered Semihypergroups [PDF]

Categories and General Algebraic Structures with Applications, 2020
In this paper, first we introduce the notions of an $(m,n)$-hyperideal and a generalized $(m,n)$-hyperideal in an ordered semihypergroup, and then, some properties of these hyperideals are studied.
Ahsan Mahboob, Noor Khan, Bijan Davvaz
doaj  

HYPERIDEALS IN M-POLYSYMMETRICAL HYPERRINGS [PDF]

Journal of Algebraic Systems, 2019
An M-polysymmetrical hyperring $(R,+,cdot )$ is an algebraic system, where $(R,+)$ is an M-polysymmetrical hypergroup, $(R,cdot )$ is a semigroup and $cdot$ is bilaterally distributive over $+$.
M. A. Madani, S. Mirvakili, B. Davvaz
doaj   +1 more source

Superring of Polynomials over a Hyperring

Mathematics, 2019
A Krasner hyperring (for short, a hyperring) is a generalization of a ring such that the addition is multivalued and the multiplication is as usual single valued and satisfies the usual ring properties.
Reza Ameri, Mansour Eyvazi, Sarka Hoskova-Mayerova   +2 more
doaj   +1 more source

Neutrosophic Hyperideals of Semihyperrings [PDF]

Neutrosophic Sets and Systems, 2016
In this paper, we have introduced neutrosophic hyperideals of a semihyperring and considered some operations on them to study its basic notions and properties.
Debabrata Mandal
doaj  

Application of (m, n)-Г-Hyperideals in Characterization of LA-Г-Semihypergroups

Discussiones Mathematicae - General Algebra and Applications, 2019
In this paper, we study the concept of ordered (m, n)-Г-hyperideals in an ordered LA-Г-semihypergroup. We show that if (S, Г, ◦,⩽) is a unitary ordered LA-Г-semihypergroup with zero 0 and satisfies the hypothesis that it contains no non-zero nilpotent (m,
Basar Abul
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On Intra-Regular Left Almost Semihypergroups with Pure Left Identity

Journal of Mathematics, 2013
We characterize intra-regular LA-semihypergroups by using the properties of their left and right hyperideals, and we investigate some useful conditions for an LA-semihypergroup to become an intra-regular LA-semihypergroup.
Naveed Yaqoob, Piergiulio Corsini, Faisal Yousafzai   +2 more
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(M,N)-Int-Soft Generalized Bi-Hyperideals of Ordered Semihypergroups

Journal of New Theory, 2018
Molodtsov introduced the concept of soft set as a new mathematical tool fordealing with uncertainties that is free from the difficulties that have troubled the usual theoreticalapproaches.
Muhammad Farooq, Asghar Khan, Muhammad Izhar, Bijan Davvaz   +3 more
doaj  

Operations on hyperideals in ordered Krasner hyperrings

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2016
In the present paper, we will concentrate our efforts on ordered Krasner hyperrings and investigate some of their related properties. Moreover, we introduce and analyze the notion of interior hyperideal in ordered Krasner hyperrings. We also characterize
Omidi S., Davvaz B., Corsini P.
doaj   +1 more source

On Some Hyperideals in Ordered Semihypergroups

Journal of New Theory, 2019
In this paper, we study orderedhyperideals in ordered semihypergroups. Also, we study (m, n)-regular orderedsemihypergroups in terms of ordered (m, n)-hyperideals. Furthermore, we obtainsome ideal theoretic results in ordered semihypergroups.
Mohammad Yahya Abbasi, Bhavanari Satyanarayana, Poonam Kumar Sharma, Shahnawaz Ali, Abul Basar   +4 more
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Bipolar fuzzy hyperideals in regular and intra-regular semihypergroups

Computational and Applied Mathematics, 2021
Shahida Bashir, Shabir Muhammad, Bashir Shahida   +2 more
exaly