Results 1 to 10 of about 111 (83)
A further study on ordered regular equivalence relations in ordered semihypergroups
Open 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.
Tang Jian +3 more
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An investigation on hyper S-posets over ordered semihypergroups
Open 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.
Tang Jian, Davvaz Bijan, Xie Xiang-Yun
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Application of (m, n)-Г-Hyperideals in Characterization of LA-Г-Semihypergroups [PDF]
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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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
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Regularities in Ordered n-Ary Semihypergroups [PDF]
Mathematics, 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
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The L-ordered L-semihypergroups [PDF]
Open 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
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Green's relations on ordered n-ary semihypergroups [PDF]
Categories 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
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Uni-Soft Quasi-Hyperideals Of Ordered Semihypergroups
Discussiones 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
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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 +4 more
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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 +5 more
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