Results 11 to 20 of about 628,271 (127)

Ordered Left Almost ⋇-Semihypergroups Based on Fuzzy Sets

Journal of Mathematics
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.
Nabilah Abughazalah, Naveed Yaqoob
doaj   +3 more sources

A brief survey on algebraic hyperstructures: Theory and applications [PDF]

Journal of Algebraic Hyperstructures and Logical Algebras, 2020
I am working on algebraic hyperstructures from 1995. During the last twenty years, I together with my students and co-authors studied and developed the theory of algebraic hyperstructures in many directions. In particular, we tried to find real examples of hyperstructures in nature.
Bijan Davvaz
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Computation in Algebraic Hyperstructures [PDF]

Computation
The concept of the relation β plays a central role in the study of hypercompositional structures. In this paper, we extend the definition of β to the general framework of hypergroupoids and develop an algorithm to compute its elements and its transitive closure β★.
Yuming Feng, Enrico Talotti, Violeta Leoreanu-Fotea   +2 more
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Hyperstructures of Affine Algebraic Group Schemes [PDF]

, 2015
We impose a rather unknown algebraic structure called a `hyperstructure' to the underlying space of an affine algebraic group scheme. This algebraic structure generalizes the classical group structure and is canonically defined by the structure of a Hopf
Jaiung Jun
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The algebraic hyperstructure of elementary particles in physical theory [PDF]

, 2010
Algebraic hyperstructures represent a natural extension of classical algebraic structures. In a classical algebraic structure, the composition of two elements is an element, while in an algebraic hyperstructure, the composition of two elements is a set. Algebraic hyperstructure theory has a multiplicity of applications to other disciplines.
Akbar Dehghan Nezhad, Mehdi Nadjafikhah, S. Mohammad Moosavi Nejad   +2 more
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Vougiouklis Contributions in the Field of Algebraic Hyperstructures

Ratio 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. In this article, we study some of Vougiouklis ideas in the field of algebraic hyperstructures as follows: (1) Semi-direct hyperproduct of two hypergroups; (2) Representation of hypergroups; (3 ...
Bijan Davvaz
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Hyperstructures of affine algebraic group schemes

Journal of Number Theory, 2016
We impose a rather unknown algebraic structure called a `hyperstructure' to the underlying space of an affine algebraic group scheme. This algebraic structure generalizes the classical group structure and is canonically defined by the structure of a Hopf algebra of global sections.
Jaiung Jun
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Helix-Hopes on Finite Hyperfields

Ratio Mathematica, 2016
Hyperstructure theory can overcome restrictions which ordinary algebraic structures have. A hyperproduct on non-square ordinary matrices can be defined by using the so called helix-hyperoperations.
Thomas Vougiouklis, Souzana Vougiouklis
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Algorithms for determining the type of algebraic hyperstructures and morphisms [PDF]

Mathematics and Computational Sciences
In this paper, we present some primary methods to define a hypergroupoid by algorithm. Then, we present algorithms for checking if it is closed under ο, associativity, weak associativity, commutativity, weak commutativity, establishing the reproduction ...
Aboutorab Pourhaghani, Seid Mohammad Anvariyeh, Bijan Davvaz   +2 more
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Algebraic Hyperstructures and Fuzzy Logic in the Treatment of Uncertainty

Science & Philosophy, 2016
This study presents some fundamental aspects of recent theories  on algebraic Hyperstructures, an important tool for an interdisciplinary vision of Geometry and Algebra. We examine some hypergroupoids of events, useful for a new algebraic-geometry perspective in the study and issues of probability applications.
Antonio Maturo, Annamaria Porreca
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