Results 51 to 60 of about 131 (103)

Topological Properties of Prime Filters and Minimal Prime Filters on a Paradistributive Latticoid

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 2024, Issue 1, 2024.
In this paper, we study the concepts of prime filters and minimal prime filters on a paradistributive latticoid (PDL) and discuss various results. In addition, we prove that the annihilator filter S• is equal to the intersection of all prime filters not containing S.
Suryavardhani Ajjarapu   +4 more
wiley   +1 more source

Algebraic Hyperstructures and Fuzzy Logic in the Treatment of Uncertainty

open access: yesScience & 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.
Annamaria Porreca, Antonio Maturo
openaire   +3 more sources

Cyclicity in EL-hypergroups

open access: yes, 2018
In the algebra of single-valued structures, cyclicity is one of the fundamental properties of groups. Therefore, it is natural to study it also in the algebra of multivalued structures (algebraic hyperstructure theory).
Krehlik, Štepan   +5 more
core   +1 more source

Hyperstructures of affine algebraic group schemes

open access: yesJournal 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.
openaire   +2 more sources

On single valued neutrosophic sets and neutrosophic א-structures: Applications on algebraic structures (hyperstructures)

open access: yesInternational Journal of Neutrosophic Science, 2020
In this paper, we find a relationship between SVNS and neutrosophic N-structures and study it. Moreover, we apply our results to algebraic structures (hyperstructures) and prove that the results on neutrosophic N-substructure (subhyperstructure) of a given algebraic structure (hyperstructure) can be deduced from single valued neutrosophic algebraic ...
Madeleine Al-Tahan, Bijan Davvaz
openaire   +2 more sources

Algebraic hyperstructures on the plane: τhe case of P-hyperstructures

open access: yes, 2017
Βιβλιογραφία: σ. 150-155Η παρούσα διπλωματική εργασία στο κεντρικό μέρος της στοχεύει αφ’ενός στην αλγεβρική μελέτη των Ρ-υπερδομών και αφ’ετέρου στη γραφική αναπαράσταση αυτών στο επίπεδο με τη βοήθεια του Λογισμικού Δυναμικής Γεωμετρίας Geogebra.
Iliou, Ioanna, Ηλιού, Ιωάννα
core   +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. 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 ...
openaire   +2 more sources

The algebraic continuous and discrete in constructing research tools and processing data in education

open access: yes, 2017
Hyperstructures is a relatively new field in the area of Mathematics, given that only in 1934 Frederic Marty introduced this topic at the 8th Congress of Scandenavian Mathematicians, with his paper: “Sur une generalisation de la notion de groupe”, where ...
Nikolaidou, Pipina   +1 more
core   +1 more source

Kajian Basis dan Dimensi pada Ruang Hipervektor Atas Lapangan

open access: yes
The concept of algebraic hyperstructure is a generalisation of the concept of algebraic structure. The concept of algebraic hyperstructure discussed in this study is hypervector space.
Dahoklory, Novita   +3 more
core   +1 more source

Dominating sets in graph theory and algebraic hyperstructures

open access: yesFilomat
The study of hyperstructures and their connections with other branches of mathematics has been explored by various researchers. In this context, several studies have investigated the relationship between hyperstructures and Graph Theory. This paper aims to establish new connections between Hyperstructure Theory and Graph Theory by focusing on the ...
M. Golmohamadian   +3 more
openaire   +1 more source

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