Results 11 to 20 of about 1,071 (79)

Generalized derivations and generalized exponential monomials on hypergroups [PDF]

open access: yesOpuscula Mathematica, 2023
In one of our former papers "Endomorphisms of the measure algebra of commutative hypergroups" we considered exponential monomials on hypergroups and higher order derivations of the corresponding measure algebra.
Żywilla Fechner   +2 more
doaj   +1 more source

Commutativity and Completeness Degrees of Weakly Complete Hypergroups

open access: yesMathematics, 2022
We introduce a family of hypergroups, called weakly complete, generalizing the construction of complete hypergroups. Starting from a given group G, our construction prescribes the β-classes of the hypergroups and allows some hyperproducts not to be ...
Mario De Salvo   +3 more
doaj   +1 more source

New Aspects in the Theory of Complete Hypergroups

open access: yesComputer Sciences & Mathematics Forum, 2023
The aim of this paper is to review the most important properties and applications of the complete hypergroups. We will focus on the reversibility, regularity and reducibility properties, on the class equation and the commutativity degree of the complete ...
Irina Cristea
doaj   +1 more source

On nilponent hypergroups [PDF]

open access: yes, 2023
In this paper, we establish the theory of nilpotent hypergroups and study some properties of nilpotent hypergroups and provided some structural characterizations of nilpotent ...
Guo, Wenbin, Zhang, Chi
core   +1 more source

Applications of (Neutro/Anti)sophications to Semihypergroups

open access: yesJournal of Mathematics, 2021
In this paper, we extend the notion of semi-hypergroups (resp. hypergroups) to neutro-semihypergroups (resp. neutro-hypergroups). We investigate the property of anti-semihypergroups (resp. anti-hypergroups).
A. Rezaei, F. Smarandache, S. Mirvakili
doaj   +1 more source

On Cyclic LA-Hypergroups

open access: yes, 2023
Symmetries in the context of hypergroups and their generalizations are closely related to the algebraic structures and transformations that preserve certain properties of hypergroup operations. Symmetric LA-hypergroups are indeed commutative hypergroups.
Muhammad Gulistan   +3 more
core   +1 more source

Fundamental Functor Based on Hypergroups and Groups [PDF]

open access: yesMathematics Interdisciplinary Research, 2018
The purpose of this paper is to compute of fundamental relations of hypergroups. In this regards first we study some basic properties of fundamental relation of hypergroups, then we show that any given group is isomorphic to the fundamental group of a ...
Mohammad Hamidi
doaj   +1 more source

F-Hypergroups of Type U on the Right [PDF]

open access: yesMathematics Interdisciplinary Research, 2020
In this paper, first we introduce F-hypergroups of type U on the right. We will prove that every right scalar identity of an F-hypergroup of type U on the right of size ≤ 5 is also a left identity.
Mehdi Farshi   +2 more
doaj   +1 more source

Properties of n-ary hypergroups relevant for modelling trajectories in HD maps

open access: yesAnalele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2022
In the paper we show that trajectories used in HD maps of autonomous vehicles can be well modelled by means of n-ary hyperoperations and hypergroups. We investigate some properties of such hypergroups.
Křehlík Štěpán   +2 more
doaj   +1 more source

On soft topological hypergroups [PDF]

open access: yesJournal of Hyperstructures, 2020
Hyperstructure theory, initiated by Marty, is a generalization theory of classical algebraic structures, while soft settheory is a powerful mathematical approach for modeling uncertainties and imprecision.
Gulay Oguz
doaj   +1 more source

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