Results 51 to 60 of about 202 (136)

An Overview of the Foundations of the Hypergroup Theory

open access: yesMathematics, 2021
This paper is written in the framework of the Special Issue of Mathematics entitled “Hypercompositional Algebra and Applications”, and focuses on the presentation of the essential principles of the hypergroup, which is the prominent structure of ...
Christos Massouros, Gerasimos Massouros
doaj   +1 more source

On Neutrosophic Canonical Hypergroups and Neutrosophic Hyperrings [PDF]

open access: yesNeutrosophic Sets and Systems, 2014
A neutrosophic hyperstructure is an algebraic structure generated by a given hyperstructure H and an indeterminacy factor I under the hyperoperation(s) of H.
A.A.A. Agboola, B. Davvaz
doaj  

Sequences of Groups, Hypergroups and Automata of Linear Ordinary Differential Operators

open access: yesMathematics, 2021
The main objective of our paper is to focus on the study of sequences (finite or countable) of groups and hypergroups of linear differential operators of decreasing orders.
Jan Chvalina   +3 more
doaj   +1 more source

Fuzzy Reduced Hypergroups

open access: yesMathematics, 2020
The fuzzyfication of hypercompositional structures has developed in several directions. In this note we follow one direction and extend the classical concept of reducibility in hypergroups to the fuzzy case.
Milica Kankaras, Irina Cristea
doaj   +1 more source

The Class Equation and the Commutativity Degree for Complete Hypergroups

open access: yesMathematics, 2020
The aim of this paper is to extend, from group theory to hypergroup theory, the class equation and the concept of commutativity degree. Both of them are studied in depth for complete hypergroups because we want to stress the similarities and the ...
Andromeda Cristina Sonea, Irina Cristea
doaj   +1 more source

Some Properties of Arveson Spectrum on Locally Compact Hypergroups

open access: yesپژوهش‌های ریاضی, 2019
In this paper we study the concept of Arveson spectrum on locally compact hypergroups and for an important class of compact countable hypergroups . In thiis paper we study the concept of Arveson spectrum on locally compact hypergroups and develop its ...
Mohammad Tabatabaie   +1 more
doaj  

$L^p$-Conjecture on Hypergroups [PDF]

open access: yesSahand Communications in Mathematical Analysis, 2018
In this paper, we study $L^p$-conjecture on locally compact hypergroups and by some technical proofs we give some sufficient and necessary conditions  for a weighted Lebesgue space  $L^p(K,w)$ to be a convolution Banach algebra, where ...
Seyyed Mohammad Tabatabaie   +1 more
doaj   +1 more source

Vougiouklis Contributions in the Field of Algebraic Hyperstructures

open access: yesRatio Mathematica, 2017
Thomas Vougiouklis was born in 1948,  Greece. He  has many contributions to algebraic hyperstructures. $H_v$-structures are  some of his main contributions.
Bijan Davvaz
doaj   +1 more source

Abelization of join spaces of affine transformations of ordered field with proximity

open access: yesApplied General Topology, 2005
Using groups of affine transformations of linearly ordered fields a certain construction of non-commutative join hypergroups is presented based on the criterion of reproducibility of semi-hypergroups which are determined by ordered semigroups. The aim of
Sárka Hosková
doaj   +1 more source

Hypercompositional Algebra, Computer Science and Geometry

open access: yesMathematics, 2020
The various branches of Mathematics are not separated between themselves. On the contrary, they interact and extend into each other’s sometimes seemingly different and unrelated areas and help them advance. In this sense, the Hypercompositional Algebra’s
Gerasimos Massouros, Christos Massouros
doaj   +1 more source

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