Results 41 to 50 of about 585 (97)

Non-commutative hypergroup of order five [PDF]

open access: yes, 2019
We prove that all hypergroups of order four are commutative and that there exists a non-comutative hypergroup of order five. These facts imply that the minimum order of non-commutative hypergroups is five, even though the minimum order of non-commutative
Ohno, Hiromichi   +4 more
core   +2 more sources

ON HK-SOBOLEV SPACE OVER HYPERGROUP GELFAND PAIR

open access: yesПроблемы анализа
In this article, we introduce the HK-Sobolev space HKζ^(α,♮)(G) (G) over a Gelfand pair within the framework of a second countable hypergroup, employing the Fourier transform on the hypergroup. We discuss Kuelbs-Steadman space KS^p in Hypergroup and
Parthapratim Saha   +2 more
doaj   +1 more source

Reducibility in Corsini hypergroups

open access: yesAnalele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2021
In this paper, we study the reducibility property of special hyper-groups, called Corsini hypergroups, named after the mathematician who introduced them.
Kankaras Milica
doaj   +1 more source

n-Ary Cartesian Composition of Multiautomata with Internal Link for Autonomous Control of Lane Shifting

open access: yesMathematics, 2020
In this paper, which is based on a real-life motivation, we present an algebraic theory of automata and multi-automata. We combine these (multi-)automata using the products introduced by W.
Štěpán Křehlík
doaj   +1 more source

State Machines and Hypergroups

open access: yesMathematics, 2022
State machines are a type of mathematical modeling tool that is commonly used to investigate how a system interacts with its surroundings. The system is thought to be made up of discrete states that change in response to external inputs.
Gerasimos G. Massouros   +1 more
doaj   +1 more source

Derived Hyperstructures from Hyperconics

open access: yesMathematics, 2020
In this paper, we introduce generalized quadratic forms and hyperconics over quotient hyperfields as a generalization of the notion of conics on fields.
Vahid Vahedi   +5 more
doaj   +1 more source

Semihypergroup-Based Graph for Modeling International Spread of COVID-n in Social Systems

open access: yesMathematics, 2022
Graph theoretic techniques have been widely applied to model many types of links in social systems. Also, algebraic hypercompositional structure theory has demonstrated its systematic application in some problems. Influenced by these mathematical notions,
Narjes Firouzkouhi   +3 more
doaj   +1 more source

Moment functions on hypergroup joins

open access: yes, 2019
Moment functions play a basic role in probability theory. A natural generalization can be defined on hypergroups which leads to the concept of generalized moment function sequences.
Kedumetse Vati, László Székelyhidi
core   +1 more source

On Weakly S‐Primary Hyperideals in a Krasner (m, n)‐Hyperring

open access: yesJournal of Mathematics, Volume 2026, Issue 1, 2026.
Over the years, numerous extensions of the concept of prime hyperideals in a hyperring have been presented by utilizing different algebraic structures associated with the hyperring. Among these, weakly primary hyperideals and S‐primary hyperideals have been studied recently.
Mahdi Anbarloei, Pramita Mishra
wiley   +1 more source

On Maximal Function on the Laguerre Hypergroup [PDF]

open access: yes, 2006
Let K = [0, ∞)×R be the Laguerre hypergroup which is the fundamental manifold of the radial function space for the Heisenberg group. In this paper we consider the generalized shift operator, generated by Laguerre hypergroup, by means of which the maximal
Assal, Miloud, Guliyev, Vagif
core   +1 more source

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