Results 61 to 70 of about 2,377 (173)

Ordered Left Almost ⋇‐Semihypergroups Based on Fuzzy Sets

open access: yesJournal of Mathematics, Volume 2024, Issue 1, 2024.
The concept of an involution or anti‐involution is a self‐inverse linear mapping that plays a prominent role in the theory of algebraic structures, particularly rings, hyperrings, ordered semigroups, and ordered semihypergroups. Nowadays, the study of involutions in ordered hyperstructures is a particular area of research in the field of hyperstructure
Nabilah Abughazalah   +2 more
wiley   +1 more source

Strongly regular relations on regular hypergroups [PDF]

open access: yesJournal of Mahani Mathematical Research
Hypergroups that have at least one identity element and where each element has at least one inverse are called regular hypergroup. In this regards, for a regular hypergroup $H$, it is shown that there exists a correspondence between the set of all ...
Reza Ameri, Behnam Afshar
doaj   +1 more source

Some Algebraic Classification of Semiregular Hypermodules in Connection to the Radical

open access: yesJournal of Mathematics, Volume 2024, Issue 1, 2024.
We call a Krasner right S‐hypermodule A regular if each cyclic subhypermodule of A is a direct summand of A, and we also call A semiregular if every finitely generated subhypermodule of A lies above a direct summand of A. In this study, some properties of such hypermodules are achieved.
Yıldız Aydın   +2 more
wiley   +1 more source

A Note on Hypervector Spaces

open access: yes, 2011
The main aim of this paper is to generalize the concept of vector space by the hyperstructure. We generalize some definitions such as hypersubspaces, linear combination, Hamel basis, linearly dependence and linearly independence.
Roy, Sanjay, Samanta, T. K.
core   +1 more source

On the semi‐sub‐hypergroups of a hypergroup [PDF]

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1989
In this paper we study some properties of the semi‐sub‐hypergroups and the closed sub‐hypergroups of the hypergroups. We introduce the correlated elements and the fundamental elements and we connect the concept antipodal of the latter with Frattin′s hypergroup. We also present Helly′s Theorem as a corollary of a more general Theorem.
openaire   +3 more sources

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

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

On dihedral hypergroups

open access: yesEuropean Journal of Combinatorics, 2015
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Cristea, Irina Elena   +2 more
openaire   +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

Fourier algebras of hypergroups and central algebras on compact (quantum) groups

open access: yes, 2016
This paper concerns the study of regular Fourier hypergroups through multipliers of their associated Fourier algebras. We establish hypergroup analogues of well-known characterizations of group amenability, introduce a notion of weak amenability for ...
Alaghmandan, Mahmood, Crann, Jason
core   +1 more source

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