Results 1 to 10 of about 165 (103)

Induced Representations and Hypergroupoids [PDF]

Symmetry, Integrability and Geometry: Methods and Applications (SIGMA), 2014
This paper is submitted to the special issue of the journal SIGMA (Symmetry, Integrability and Geometry: Methods and Applications) in honor of Marc A ...
Jean Renault, Renault Jean
exaly   +7 more sources

Hypergroupoids determined by lattices

European Journal of Combinatorics, 2010
The paper deals with hypergroupoids where the hyperoperation is determined by lattices. The main results are conditions under which the hyperoperation is associative and when a hypergroup is obtained.
Violeta Leoreanu Fotea, Ivo G. Rosenberg
exaly   +4 more sources

The Hypergroupoid Semigroups as Generalizations of the Groupoid Semigroups [PDF]

Journal of Applied Mathematics, 2012
We introduce the notion of hypergroupoids (𝐻Bin(𝑋),□), and show that (𝐻Bin(𝑋),□) is a super-semigroup of the semigroup (Bin(𝑋),□) via the identification 𝑥↔{𝑥}. We prove that (𝐻Bin∗(𝑋),⊖,[∅]) is a 𝐵𝐶𝐾-algebra, and obtain several properties of (𝐻Bin∗(𝑋),□).
Jeong Soon Han, Hee Sik Kim, J. Neggers
doaj   +5 more sources

Topological hypergroupoids

Computers and Mathematics With Applications, 2012
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Sárka Hoskova-Mayerova
exaly   +4 more sources

On the g-hypergroupoids associated with g-hypergraphs

Filomat, 2017
In this paper, we associate a partial g-hypergroupoid with a given g-hypergraph and analyze the properties of this hyperstructure. We prove that a g-hypergroupoid may be a commutative hypergroup without being a join space. Next, we define diagonal direct product of g-hypergroupoids.
Bijan Davvaz, S Mirvakili, Davvaz Bijan   +2 more
exaly   +4 more sources

Regularity of Intuitionistic Fuzzy Relations on Hypergroupoids [PDF]

Analele Stiintifice Ale Universitatii Ovidius Constanta, Seria Matematica, 2014
In this paper we introduce the notions of regular and strongly regular intuitionistic fuzzy relations on hypergroupoids, studying some related properties and connections with the classical case. Then we investigate the lattice structure of these kinds of
Irina Cristea
exaly   +3 more sources

Locally Compact Hypergroupoids

Indian Journal of Pure and Applied Mathematics, 2020
The authors study locally compact hypergroupoids. Hypergroupoids generalize both hypergroups and groupoids. The authors assume the continuity of the map \((x, y) \mapsto \operatorname{supp}(\delta_{x} \ast \delta_{y})\) and show that the adjoint property in Renault's definition of the left Haar system follows automatically.
Massoud Amini, Amini M
exaly   +3 more sources

Path hypergroupoids: Commutativity and graph connectivity

European Journal of Combinatorics, 2015
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Antonios Kalampakas, Stefanos Spartalis   +1 more
exaly   +2 more sources

On fuzzy prime and fuzzy semiprime ideals of hypergroupoids [PDF]

Journal of Hyperstructures, 2016
We deal with an hypergroupoid endowed with a rela- tion denoted by \", we call it{hypergroupoid. We prove that a nonempty subset A of a{hypergroupoid H is a prime (resp. semiprime) ideal of H if and only if the characteristic function fA is a fuzzy prime
Niovi Kehayopulu
doaj   +3 more sources

Degree hypergroupoids associated with hypergraphs

Filomat, 2014
In this paper, we present some connections between graph theory and hyperstructure theory. In this regard, we construct a hypergroupoid by defining a hyperoperation on the set of degrees of vertices of a hypergraph and we call it a degree hypergroupoid. We will see that the constructed hypergroupoid is always anHv-group. We will investigate
Bijan Davvaz, S Mirvakili, Davvaz Bijan   +2 more
exaly   +3 more sources