Results 121 to 130 of about 922 (170)
Hypergroups and Geometric Spaces
We explain some links between hypergrpoups and geometric spaces. We show that for any given hypergroup it is possible to define a particular geometric space and then a canonical homomorphism between the hypergroup and a group.
Maria Scafati Tallini
doaj
AMENABLE WEIGHTED HYPERGROUPS [PDF]
In this paper among many other things we prove that the topological left amenability and left amenability of a weighted hypergroup (K, ?) are equivalent. For a normal subgroup H of K, we define a weight function ??
doaj
A novel study on the structure of left almost hypermodules. [PDF]
Abughazalah N +3 more
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A New family of hypergroups and hypergroups of type U on the right of size five
We determine a new family of hypergroups of type U on the right and find necessary and sufficient conditions so that such hypergroups are of type C on the right or cogroups.
G. LO FARO, M. DE SALVO, FRENI, Domenico
core
Hypergroups with a strongly unilateral identity
Among hyperstructures of type U on the right having small size, the order 6 is a relevant case. Indeed, only if the order is \leq 6 there exist proper semihypergrops and hypergroups of type U on the right whose right scalar identity is not also left ...
FASINO, Dario +3 more
core
On canonical hypergroups and congruences
Several mathematicians have dealt with the canonical hypergroups; it is within the framework of their research that the present study offers a further contribution.
FRENI, Domenico
core
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
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Fourier algebra of a hypergroup – II. Spherical hypergroups
Mathematische Nachrichten, 2008AbstractWe in this article, introduce a class of hypergroups called ultraspherical hypergroups and show that the Fourier space of an ultraspherical hypergroup forms a Banach algebra under pointwise product. These hypergroups need not be commutative and include for example double coset hypergroups.
exaly +3 more sources
An \(A\)-hypergroup \(H\) is a canonical hypergroup such that for all \(x\in H\) the set \(x-x\) is a subhypergroup of \(H\). The core \(\omega_ H\) of a hypergroup \(H\) is the smallest sub-hypergroup \(h\) of \(H\) such that the quotient \(H/h\) is a group. In the paper it is proved that in some \(A\)- hypergroups the core is equal to a hyperaddition
FRENI, Domenico
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Cyclic hypergroups and torsion in hypergroups
One characterizes the structure of cyclic hypergroups, in particular of the complete ones. One extends to the hypergroups, some notions of group theory, as torsion, generators etc. and finds results which concern them.
FRENI, Domenico
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