HYPERGROUPS

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Research on Nilpotent Groups Based on Fuzzy Hypergroups
《Journal of Applied Mathematics and Physics》2025年第1期148-156,共9页Yi Yan Yan Yan Xinru Shang 
In this paper, by constructing the smallest equivalence relation θ∗on a finite fuzzy hypergroup H, the quotient group (the set of equivalence classes) H/θ∗is a nilpotent group, and the nilpotent group is characteriz...
关键词：Fuzzy Hypergroup Equivalence Relation Strong Fuzzy Regular Relation Nilpotent Group 
Links Between HX-Groups and Hypergroups
《Algebra Colloquium》2021年第3期441-452,共12页Irina Cristea Michal Novák Babatunde Oluwaseun Onasanya 
The first author acknowledges the financial support from the Slovenian Research Agency(research core funding No.P1-0285);The second author was supported by the FEKT-S-17-4225 grant of Brno University of Technology.
The concept of an HX-group is an upgrade of the concept of a group,in which a new operation is defined on the family of non-empty subsets of a group.If this new support set together with the new operation is a group,t...
关键词：HX-group hyperstructure theory Chinese hypergroupoid EL-hyperstructure power set 
Multipliers on Vector-valued L^1-spaces for Hypergroups
《Acta Mathematica Sinica,English Series》2018年第7期1059-1073,共15页R.SARMA N.Shravan KUMAR Vishvesh KUMAR 
supported by senior research fellowship of CSIR,India
In this article, we extend the well known Wendel＇s theorem to the context of vector-valued L1-spaces on hypergroups. In this regard, various cases have been studied.
关键词：Vector-valued Ll-spaces HYPERGROUPS MULTIPLIERS translation invariant operators FOURIERTRANSFORM 
On the γ_n-complete Hypergroups and K_H Hypergroups
《Acta Mathematica Sinica,English Series》2008年第11期1901-1908,共8页Bijan DAVVAZ M.KARIMIAN 
The class of γn-complete hypergroups is introduced. Several properties and examples are found both of γn-complete hypergroups and of KH hypergroups.
关键词：γ relation γn-complete hypergroup KH hypergroup γ-part 
The Semisimplicity of L^i(K,w) of a Weighted Commutative Hypergroup K
《Acta Mathematica Sinica,English Series》2008年第4期607-610,共4页M.LASHKARIZADEH BAMI 
both The Research Affairs (Research Project No.850709);The Center of Excellence for Mathematics of the University of Isfahan
In the present paper, it is shown that, for a locally compact commutative hypergroup K with a Borel measurable weight function w, the Banach algebra L^1 （K, w） is semisimple if and only if L^1 （K） is semisimple. I...
关键词：locally compact hypergroups semisimple Banach algebras 
Characterization of Operators on the Dual of Hypergroups which Commute with Translations and Convolutions被引量：1
《Acta Mathematica Sinica,English Series》2004年第2期201-208,共8页Ali Ghaffari Alireza Medghalchi 
For a locally compact group G, L 1(G) is its group algebra and L ∞(G) is the dual of L 1(G). Lau has studied the bounded linear operators T : L ∞(G) → L ∞(G) which commute with convolutions and translations. For a...
关键词：Hypergroup algebras Group algebras OPERATORS TRANSLATIONS CONVOLUTIONS INVARIANT 
Construction of some hypergroups from combinatorial structures
《Journal of Zhejiang University Science》2003年第1期76-79,共4页AliRezaAshrafi AhmadRezaEslami-Harandi 
Jajcay's studies( 1993 ; 1994) on the automorphism groups of Cayley maps yielded a new product of groups, which he called, rotary product. Using this product, we define a hyperoperation ⊙ on the group Syme (G) , the ...
关键词：Finite group Rotary closed subgroup HYPERGROUP Sub  hypergroup Combinatorial structures 
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