Results 11 to 20 of about 89 (69)

On systems, maximal Γ-hyperideals and complete prime Γ-radicals in Γ-semihypergroups [PDF]

Journal of Hyperstructures, 2019
In this paper c-system , n-system and complete prime Γ-radical in a Γ-semihypergroup are introduced and studied whiledefinition of m-system has been revised. Maximal Γ-hyperideals are studied and the conditions under which maximal Γ-hyperideals are prime
Ansari Safoora Samreen Jamal Abdul Nasir, Kishor Fakira Pawar   +1 more
doaj   +1 more source

Some Properties of Relative Bi-(Int-)Γ-Hyperideals in Ordered Γ-Semihypergroups

Frontiers in Physics, 2020
In this article, we study the concept of relative bi-Γ-hyperideals (J-bi-Γ-hyperideals) in ordered Γ-semihypergroups and present some related examples of this concept.
Yongsheng Rao, Peng Xu, Peng Xu, Zehui Shao, Saeed Kosari, Saber Omidi   +5 more
doaj   +1 more source

On 2-SuperHyperLeftAlmostSemihyp regroups [PDF]

Neutrosophic Sets and Systems, 2022
The aim of this paper is to extend the concept of hyperideals to the SuperHyperAlgebras. In this paper, we introduce the concept of 2-SuperHyperLeftAlmostSemihypergroups which is a generalization of LA-semihypergroups.
Pairote Yiarayong
doaj   +1 more source

A Novel Study on Ordered Anti-Involution LA-Semihypergroups

Journal of Mathematics, 2023
In this study, we introduce a new concept called “anti-involution” in relation to ordered LA-semihypergroups. An anti-involution is basically an involuntary automorphism, which is just a fancy term for a mathematical function that can be reversed.
Nabilah Abughazalah, Naveed Yaqoob
doaj   +1 more source

On Hyperideals of Multiplicative Hyperrings

Cumhuriyet Science Journal, 2022
Let R be a commutative multiplicative hyperring. In this paper, we introduce and study the concepts of n-hyperideal and δ-n-hyperideal of R which are generalization of n-ideals and δ-n-ideals of the in a commutative ring.
Ummahan Merdinaz Acar, Betül Coşgun
doaj   +1 more source

A GENERALIZATION OF PRIME HYPERIDEALS IN KRASNER HYPERRINGS [PDF]

Journal of Algebraic Systems, 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.
L. Kamali Ardekani, B. Davvaz
doaj   +1 more source

SOME ASPECTS OF K-HYPERIDEALS OF TERNARY HYPERSEMIRINGS [PDF]

Journal of Algebraic Systems
This paper introduces the concept of k-hyperideals of ternary hypersemirings and explores some of its fundamental characteristics. Next, k-hyperideals are used to characterize prime ternary hypersemirings and ternary hypersemifields.
Md Salim Molla
doaj   +1 more source

On quasi-hyperideals and bi-hyperideals in multiplicative hypersemirings [PDF]

Journal of Hyperstructures, 2023
In this paper we introduce the notion of quasi-hyperideal in multiplicative hypersemirings which is a generalization of one-sided hyperideal and study some of its properties and obtain some characterizations of quasi-hyperideal in multiplicative ...
Md Salim Masud Molla
doaj   +1 more source

On Rough Hyperideals in Hyperlattices

Journal of Applied Mathematics, 2013
We introduce and study rough hyperideals in hyperlattices. First, we give some interesting examples of hyperlattices and introduce hyperideals of hyperlattices.
Pengfei He, Xiaolong Xin, Jianming Zhan
doaj   +1 more source

On Minimal and Maximal Hyperidealsin n-ary Semihypergroups

Mathematics, 2020
The concept of j-hyperideals, for all positive integers 1≤j≤n and n≥2, in n-ary semihypergroups, is a generalization of the concept of left, lateral and right hyperideals in ternary semihypergroups.
Jukkrit Daengsaen, Sorasak Leeratanavalee, Bijan Davvaz   +2 more
doaj   +1 more source