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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

Classification of Krasner Hyperfields of Order 4: 《Acta Mathematica Sinica,English Series》2020年第8期889-902,共14页Mahdeyeh IRANMANESH Morteza JAFARPOUR Hossien AGHABOZORGI Jian Ming ZHAN; In this paper,first we introduce n-polygroups and characterize 2-polygroups of order 4 up to isomorphism.Then using 2-polygroups we introduce 2-Krasner hyperfields and we show that there exactly exists one 2-Krasner h...; 关键词：(semi)hypergroup n-polygroup Krasner hyperfield ISOMORPHISM

H^1-Estimates of the Littlewood-Paley and Lusin Functions for Jacobi Analysis Ⅱ: 《Analysis in Theory and Applications》2016年第1期38-51,共14页Takeshi Kawazoe; partly supported by Grant-in-Aid for Scientific Research (C) No.24540191, Japan Society for the Promotion of Science; Abstract. Let （R＋,＊,A） be the Jacobi hypergroup. We introduce analogues of the Littlewood-Paley g function and the Lusin area function for the Jacobi hypergroup and consider their （H^1, L^1 ） boundedness. Althou...; 关键词：Jacobi analysis Jacobi hypergroup g function area function real Hardy space.

Lower and Upper Fuzzy Topological Subhypergroups被引量：1: 《Acta Mathematica Sinica,English Series》2013年第2期315-330,共16页Irina CRISTEA Jian Ming ZHAN; partially supported by Natural Innovation Term of Higher Education of Hubei Provinceof China(Grant No.T201109); This paper provides a new connection between algebraic hyperstructures and fuzzy sets. More specifically, using both properties of fuzzy topological spaces and those of fuzzy subhypergroups, we define the notions of l...; 关键词：HYPERGROUP fuzzy topological space （relatively） fuzzy continuity lower （upper） fuzzytopological subhypergroup

REPRESENTATION OF GENERALIZED TRANSLATIONS OF THE PRODUCT OF TWO FUNCTIONS ON SIGNED HYPERGROUPS ON THE REAL LINE: 《Analysis in Theory and Applications》2012年第3期201-223,共23页Njib Ben Salem Nabila Hamda; In this paper, we consider the generalized translations associated with the Dunkl and the Jacobi-Dunkl differential-difference operators on the real line which provide the structure of signed hrpergroups on R. Especia...; 关键词：Bessel function Dunkl operator generalized translation signed hypergroup Jacobi-Dunkl operator Jacobi function

On Fuzzy Preordered Structures and (Fuzzy) Hyperstructures: 《Acta Mathematica Sinica,English Series》2012年第9期1787-1798,共12页Irina CRISTEA Morteza JAFARPOUR Seyed Sh. MOUSAVI; This article presents a connection between fuzzy preordered structures and hyperstructures. Firstly, we introduce the notion of fuzzy preordered semigroup and then, we construct a semihypergroup associated with it, gi...; 关键词：Fuzzy preordered semigroup HYPERGROUP fuzzy hyperring mutually associativity

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

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

The Homomorphism and Isomorphism on Hypergroup被引量：4: 《Chinese Quarterly Journal of Mathematics》1997年第3期7-14, ,共8页钟育彬; Basing on the papers from [1] to [4], this paper gives some further research,mainly solves the following problems:(1) It proved that several theorems of subgroup which have been raised to the hypergroup are still true...; 关键词：HYPERGROUP HOMOMORPHISM ISOMORPHISM regular hypergroup uniform hypergroup

HYPERGROUP