Results 41 to 50 of about 1,282 (147)
On the semi‐sub‐hypergroups of a hypergroup [PDF]
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
r‐Hyperideals and Generalizations of r‐Hyperideals in Krasner Hyperrings
This paper deals with Krasner hyperrings as an important class of algebraic hyperstructures. We investigate some properties of r‐hyperideals in commutative Krasner hyperrings. Some properties of pr‐hyperideals are also studied. The relation between prime hyperideals and r‐hyperideals is investigated. We show that the image and the inverse image of an r‐
Peng Xu +6 more
wiley +1 more source
Examples of NeutroHyperstructures on Biological Inheritance [PDF]
In 1934, Marty introduced the concept of hyperstructures, which serves as a generalization of algebraic structures. Hyperstructures have applications in various fields, including biology, where they prove useful for analyzing the different types of ...
Fakhry Asad Agusfrianto +3 more
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Limit theorems for radial random walks on pxq-matrices as p tends to infinity [PDF]
The radial probability measures on $R^p$ are in a one-to-one correspondence with probability measures on $[0,\infty[$ by taking images of measures w.r.t. the Euclidean norm mapping. For fixed $\nu\in M^1([0,\infty[)$ and each dimension p, we consider i.i.
Rösler, Margit, Voit, Michael
core +2 more sources
Complete parts and subhypergroups in reversible regular hypergroups
In this paper we analyse the center and centralizer of an element in the context of reversible regular hypergroups, in order to obtain the class equation in regular reversible hypergroups, by using complete parts.
Leoreanu-Fotea V. +3 more
doaj +1 more source
A Central Limit Theorem for Random Walks on the Dual of a Compact Grassmannian [PDF]
We consider compact Grassmann manifolds $G/K$ over the real, complex or quaternionic numbers whose spherical functions are Heckman-Opdam polynomials of type $BC$.
Rösler, Margit, Voit, Michael
core +7 more sources
Non-commutative hypergroup of order five [PDF]
We prove that all hypergroups of order four are commutative and that there exists a non-comutative hypergroup of order five. These facts imply that the minimum order of non-commutative hypergroups is five even though the minimum order of non-commutative ...
Matsuzawa, Yasumichi +4 more
core +2 more sources
Cyclicity in EL–Hypergroups [PDF]
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). However, when one considers the nature of generalizing this property, at least two (or rather three) approaches seem natural ...
Michal Novák +2 more
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Vague Soft Hypergroups and Vague Soft Hypergroup Homomorphism [PDF]
We introduce and develop the initial theory of vague soft hyperalgebra by introducing the novel concept of vague soft hypergroups, vague soft subhypergroups, and vague soft hypergroup homomorphism. The properties and structural characteristics of these concepts are also studied and discussed.
Ganeshsree Selvachandran +1 more
openaire +2 more sources
On soft topological hypergroups [PDF]
Hyperstructure theory, initiated by Marty, is a generalization theory of classical algebraic structures, while soft settheory is a powerful mathematical approach for modeling uncertainties and imprecision.
Gulay Oguz
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