Results 31 to 40 of about 1,071 (79)

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

Ramsey theory for hypergroups

open access: yes, 2020
In this paper, Ramsey theory for discrete hypergroups is introduced with emphasis on polynomial hypergroups, discrete orbit hypergroups and hypergroup deformations of semigroups.
Kumar, Vishvesh   +2 more
core   +1 more source

On Factorizable Semihypergroups

open access: yesMathematics, 2020
In this paper, we define and study the concept of the factorizable semihypergroup, i.e., a semihypergroup that can be written as a hyperproduct of two proper sub-semihypergroups. We consider some classes of semihypergroups such as regular semihypergroups,
Dariush Heidari, Irina Cristea
doaj   +1 more source

Generalized Hypergroups and Orthogonal Polynomials.

open access: yes, 2007
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 ...
Lasser, R., Obermaier, J., Rauhut, H.
core   +2 more sources

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

Enumeration of Rosenberg hypergroups [PDF]

open access: yes, 2010
The aim of this paper is to introduce the notion of general mutually associative hypergroups and to give some properties of the hypergroups associated with binary relations related to these notions.
Soleymani, Ali   +7 more
core   +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

On the A-hypergroups

open access: yes, 1990
This paper is about the structure of the core of the A-hypergroups. We prove that in some A-hypergroups the core is equal to a hyperaddition of zero type and we give another example that shows the existence of some A-hypergroups for which that property ...
FRENI, Domenico
core   +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

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