Results 1 to 10 of about 334,235 (104)

Ordered Left Almost ⋇‐Semihypergroups Based on Fuzzy Sets

open access: yesJournal of Mathematics
The concept of an involution or anti-involution is a self-inverse linear mapping that plays a prominent role in the theory of algebraic structures, particularly rings, hyperrings, ordered semigroups, and ordered semihypergroups.
Naveed Yaqoob, Nabilah Abughazalah
exaly   +5 more sources

A further study on ordered regular equivalence relations in ordered semihypergroups

open access: yesOpen Mathematics, 2018
In this paper, we study the ordered regular equivalence relations on ordered semihypergroups in detail. To begin with, we introduce the concept of weak pseudoorders on an ordered semihypergroup, and investigate several related properties.
Bijan Davvaz
exaly   +6 more sources

The L-ordered L-semihypergroups [PDF]

open access: yesOpen Mathematics, 2020
This study pursues an investigation on L-semihypergroups equipped with an L-order. First, the concept of L-ordered L-semihypergroups is introduced by L-posets and L-semihypergroups, and some related results are obtained.
Su Shuhua, Liu Fuyao, Yang Shuqun
doaj   +3 more sources

On Fuzzy Ordered LA-Semihypergroups [PDF]

open access: yesInternational Journal of Analysis and Applications, 2018
We introduce the notion of fuzzy ordered LA-semihypergroups and provide different examples. We also discuss some results related with fuzzy left and right hyperideals.
Muhammad Azar   +3 more
doaj   +16 more sources

Uni-Soft Quasi-Hyperideals Of Ordered Semihypergroups [PDF]

open access: yesDiscussiones Mathematicae - General Algebra and Applications, 2021
The main purpose of this article is to study ordered semihypergroups in the context of uni-soft quasi-hyperideals. In this article, using the notion of soft-union sets in ordered semihypergroups, we introduce the concept of union-soft (uni-soft) quasi ...
Farooq Muhammad   +3 more
doaj   +4 more sources

Regularities in Ordered n-Ary Semihypergroups [PDF]

open access: yesMathematics, 2021
This paper deals with a class of hyperstructures called ordered n-ary semihypergroups which are studied by means of j-hyperideals for all positive integers 1≤j≤n and n≥3.
Jukkrit Daengsaen   +1 more
doaj   +3 more sources

On Some Hyperideals in Ordered Semihypergroups

open access: yesJournal 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   +4 more
doaj   +7 more sources

An investigation on hyper S-posets over ordered semihypergroups

open access: yesOpen Mathematics, 2017
In this paper, we define and study the hyper S-posets over an ordered semihypergroup in detail. We introduce the hyper version of a pseudoorder in a hyper S-poset, and give some related properties.
Bijan Davvaz
exaly   +4 more sources

Green's relations on ordered n-ary semihypergroups [PDF]

open access: yesCategories and General Algebraic Structures with Applications, 2023
In this paper, we introduce the concept of weak $i$-hyperfilters of ordered $n$-arysemihypergroups, where a positive integer 1 ≤ i ≤ n and n ≥ 2, and then discuss theirrelated properties. We define the Green’s relations $M_i, J , H$ and $K$ on ordered $n$
Jukkrit Daengsaen   +1 more
doaj   +2 more sources

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

open access: yesDiscussiones 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
doaj   +4 more sources

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