نتایج جستجو برای: hypergroups

تعداد نتایج: 322  

Journal: :Mathematics 2022

We introduce a family of hypergroups, called weakly complete, generalizing the construction complete hypergroups. Starting from given group G, our prescribes β-classes hypergroups and allows some hyperproducts not to be parts, based on suitably defined relation over G. The commutativity degree can related that underlying group. Furthermore, in analogy commutativity, we completeness finite analy...

2005
Rupert Lasser Josef Obermaier Holger Rauhut

The concept of semi-bounded generalized hypergroups (SBG hypergroups) is developed which are more special then generalized hypergroups introduced by Obata and Wildberger and which are more general then discrete hypergroups or even discrete signed hypergroups. The convolution of measures and functions is studied. In case of commutativity we define the dual objects and prove some basic theorems o...

2006
Rupert Lasser

Polynomial hypergroups are a very interesting class of hypergroups with a great variety of examples which are quite different from groups. So the L-algebras of hypergroups have properties very distinguished to the L-algebras of groups, in particular in the context of amenability and related conditions. Being amenable the L-algebra of an abelian group does not possess any non-zero bounded point ...

Journal: :Mathematics 2021

In this paper, we show a new construction of hypergroups that, under appropriate conditions, are complete or non-complete 1-hypergroups. Furthermore, classify the 1-hypergroups size 5 and 6 based on partition induced by fundamental relation ?. Many these can be obtained using aforesaid hypergroup construction.

Journal: :Journal of Mathematics 2021

In this paper, we extend the notion of semi-hypergroups (resp. hypergroups) to neutro-semihypergroups neutro-hypergroups). We investigate property anti-semihypergroups anti-hypergroups). also give a new alternative neutro-hyperoperations anti-hyperoperations), neutro-hyperoperation-sophications anti-hypersophications). Moreover, show that these concepts are different from classical by several e...

Journal: :Computers & Mathematics with Applications 2010
Irina Cristea Morteza Jafarpour Seyed S. Mousavi Ali Soleymani

The aimof this paper is to introduce the notion of generalmutually associative hypergroups and to give some properties of the hypergroups associated with binary relations related to these notions. A program written in C# computes the number of Rosenberg hypergroups that satisfies the property of (general) mutual associativity. © 2010 Elsevier Ltd. All rights reserved.

Journal: :Mathematics 2022

Hypergroups can be subdivided into two large classes: those whose heart coincide with the entire hypergroup and in which is a proper sub-hypergroup. The latter class includes family of 1-hypergroups, reduces to singleton, therefore trivial group. However, very little known about hypergroups that are neither 1-hypergroups nor belong first class. goal this work take step classifying G-hypergroups...

Journal: :Computers & Mathematics with Applications 2009
Mario De Salvo Dario Fasino Domenico Freni Giovanni Lo Faro

By means of a blend of theoretical arguments and computer algebra techniques, we prove that the number of isomorphism classes of hypergroups of type U on the right of order five, having a scalar (bilateral) identity, is 14 751. In this way, we complete the classification of hypergroups of type U on the right of order five, started in our preceding papers [M. De Salvo, D. Freni, G. Lo Faro, A ne...

Journal: :bulletin of the iranian mathematical society 0
s. m. tabatabaie department of mathematics‎, ‎the university of qom‎, ‎3716146611‎, ‎iran. f. haghighifar department of mathematics‎, ‎the university of qom‎, ‎371614newline 6611‎, ‎iran.

we study harmonic analysis on cocommutative kpc-hyper-groups‎, which is a generalization of djs-hypergroups‎, ‎introduced by kalyuzhnyi‎, ‎podkolzin and chapovsky‎. ‎we prove that there is a relationship between‎ ‎the associated measures $mu$ and $gamma mu$‎, ‎where $mu$ is‎ ‎a radon measure on kpc-hypergroup $q$ and $gamma$ is a character on $q$.

2015
A.A.A. Agboola B. Davvaz

A neutrosophic hyperstructure is an algebraic structure generated by a given hyperstructure H and an indeterminacy factor I under the hyperoperation(s) of H. The objective of this paper is to study canonical hypergroups and hyperrings in which addition and multiplication are hyperoperations in a neutrosophic environment. Some basic properties of neutrosophic canonical hypergroups and neutrosoph...

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