Results 1 to 10 of about 122 (100)
On Cyclic Associative Semihypergroups and Neutrosophic Extended Triplet Cyclic Associative Semihypergroups [PDF]
Mathematics, 2022 This paper introduces a new concept called cyclic associative semihypergroup (CA-semihypergroup). The relationships among CA-semihypergroups, Semihypergroups and LA-semihypergroups are studied through some interesting examples.
Xiaohong Zhang
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On Factorizable Semihypergroups [PDF]
Mathematics, 2020 In this paper, we define and study the concept of the factorizable semihypergroup, i.e., a semihypergroup that can be written as a hyperproduct of two proper sub-semihypergroups. We consider some classes of semihypergroups such as regular semihypergroups,
Irina Cristea +2 more
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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 +2 more
doaj +4 more sources
On Pure Hyperradical in Semihypergroups [PDF]
International Journal of Mathematics and Mathematical Sciences, 2012 This paper deals with a class of algebraic hyperstructures called semihypergroups, which are a generalization of semigroups. In this paper, we introduce pure hyperradical of a hyperideal in a semihypergroup with zero element.
Kostaq Hila, Krisanthi Naka
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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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Representations, Translations and Reductions for Ternary Semihypergroups
Axioms, 2022 The concept of ternary semihypergroups can be considered as a natural generalization of arbitrary ternary semigroups. In fact, each ternary semigroup can be constructed to a ternary semihypergroup.
Anak Nongmanee, Sorasak Leeratanavalee
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Rough Hyperfilters in Po-LA-Semihypergroups
Discrete Dynamics in Nature and Society, 2019 This paper concerns the study of hyperfilters of ordered LA-semihypergroups, and presents some examples in this respect. Furthermore, we study the combination of rough set theory and hyperfilters of an ordered LA-semihypergroup.
Ferdaous Bouaziz, Naveed Yaqoob
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Completely Prime Hyperideals of Ternary Semihypergroups
Discussiones Mathematicae - General Algebra and Applications, 2020 In this article, we introduce the notions of pseudosymmetric hyperideals and globally idempotent ternary semihypergroups and present various examples for them.
Sarala Y. +3 more
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Semilattice relations on a semihypergroup
AIMS Mathematics, 2023 <abstract><p>In this paper, we give a unified method for constructing commutative relations, band relations and semilattice relations on a semihypergroup. Moreover, we show that the set of all commutative relations, the set of all band relations and the set of all semilattice relations on a semihypergroup are complete lattices.</p><
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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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