Results 1 to 10 of about 43 (37)
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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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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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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Ordered regular equivalence relations on ordered semihypergroups
Journal of Algebra, 2016 This is from the last section of the paper: ``Conclusions and future work: In this paper, we introduce the concepts of ordered regular (strongly ordered regular) equivalence relations on ordered semihypergroups, and construct an ordered semilattice equivalence relation \(\mathcal{N}\) by hyperfilters and an ordered regular equivalence relation \(\rho_I\
Xilin Tang, Ze Gu
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Characterizations of (strongly) ordered regular relations on ordered semihypergroups
Journal of Algebra, 2016 In this paper, the authors study the concept of ordered regular (strongly ordered regular) equivalence relations on ordered semihypergroups. In particular, they construct an ordered regular equivalence relation on an ordered semihypergroup by hyperideals such that the corresponding quotient structure is also an ordered semihypergroup, which answers the
Xilin Tang, Ze Gu
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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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Semilattice strongly regular relations on ordered $ n $-ary semihypergroups
AIMS Mathematics, 2021 <abstract><p>In this paper, we introduce the concept of $ j $-hyperfilters, for all positive integers $ 1\leq j \leq n $ and $ n \geq 2 $, on (ordered) $ n $-ary semihypergroups and establish the relationships between $ j $-hyperfilters and completely prime $ j $-hyperideals of (ordered) $ n $-ary semihypergroups.
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 the paper “Regular equivalence relations on ordered ∗-semihypergroups”
TURKISH JOURNAL OF MATHEMATICS, 2021 Summary: If \((S, \circ, \leq)\) is an ordered hypersemigroup, an equivalence relation \(\rho\) on \(S\) is called congruence if \((a, b)\in\rho\) implies \((a\circ x, b\circ x)\in\rho\) and \((x\circ a, x\circ b)\in\rho\) for every \(x\in S\); in the sense that for every \(u\in a\circ x\) there exists \(v\in b\circ x\) such that \((u, v)\in\rho\) and ...
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C-Γ-hyperideal Theory in Ordered Γ-semihypergroups
Journal of Mathematical and Fundamental Sciences, 2017 Our purpose in this article is to characterize the properties of C-Γ-hyperideals in ordered Γ-semihypergroups. As an application of the results of this paper, the corresponding results of ordered semihypergroups can also be obtained by moderate ...
Saber Omidi , Bijan Davvaz
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