Results 91 to 100 of about 199 (139)

FINITE QUANTUM HYPERGROUPS

open access: yesRocky Mountain Journal of Mathematics
A finite quantum hypergroup is a finite-dimensional unital algebra $A$ over the field of complex numbers. There is a coproduct on $A$, a coassociative map from $A$ to $A\otimes A$ assumed to be unital, but it is not required to be an algebra homomorphism. There is a counit that is supposed to be a homomorphism.
Landstad, Magnus B., Van Daele, Alfons
openaire   +2 more sources

On the γn∗-complete hypergroups

open access: yesEuropean Journal of Combinatorics, 2007
AbstractThe class of γn∗-complete hypergroups is introduced. Several properties and examples are found.
Bijan Davvaz, M. Karimian
openaire   +1 more source

\alpha-Amenable Hypergroups

open access: yes, 2009
Let $K$ denote a locally compact commutative hypergroup, $L^1(K)$ the hypergroup algebra, and $\alpha$ a real-valued hermitian character of $K$. We show that $K$ is $\alpha$-amenable if and only if $L^1(K)$ is $\alpha$-left amenable. We also consider the $\alpha$-amenability of hypergroup joins and polynomial hypergroups in several variables as well as
openaire   +2 more sources

Hypergroups and hypergroup algebras [PDF]

open access: yesJournal of Soviet Mathematics, 1987
52 ...
G L Litvinov
exaly   +3 more sources
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Geometric hypergroups

2022
The authors give a new construction of a hypergroup starting from a hypergroup \((H , \circ )\) and a connecting nonempty set \(S\) with the property that \(x\in S\circ y\Longleftrightarrow y\in S\circ x\). Using the same ideas as in the case of groups, they define generalized Cayley graph over \((H , S)\), denoted by \(GCG(H, S)\), to be the simple ...
Al Tahan, M., Davvaz, B.
openaire   +2 more sources

Isomorphisms of hypergroups and of n-hypergroups with applications

Soft Computing, 2008
Connections between binary and some \(n\)-ary hypergroups are described. Finally are given conditions under which two join spaces associated with lattices, defined on the same set, are isomorphic.
Violeta Leoreanu Fotea   +1 more
openaire   +2 more sources

Transposition hypergroups and complement hypergroups

Journal of Discrete Mathematical Sciences and Cryptography, 2003
Abstract We introduce the complement of a hyperoperation. We provide an example to reveal that the complement of a transposition hypergroup may be a transposition hypergroup. However, we show that the complement of a hypergroup in general is not a hypergroup.
A. Iranmanesh, A. H. Babareza
openaire   +1 more source

Flickr hypergroups

Proceedings of the 17th ACM international conference on Multimedia, 2009
The amount of multimedia content available online constantly increases, and this leads to problems for users who search for content or similar communities. Users in Flickr often self-organize in user communities through Flickr Groups. These groups are particularly interesting as they are a natural instantiation of the content~+~relations social media ...
Radu Andrei Negoescu   +4 more
openaire   +1 more source

Lie Hypergroups

Journal of Lie Theory, 2013
Summary: We define Lie hypergroups and study their embedded and immersed subhypergroups. In particular we investigate the properties of the connected component of the identity, the universal covering and fundamental group of a Lie hypergroup. We also study the quotients and orbits in a Lie hypergroup.
Amini, Massoud   +2 more
openaire   +2 more sources

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