Results 91 to 100 of about 203 (138)
Hypergroups and Geometric Spaces
Ratio Mathematica, 2012 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
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AMENABLE WEIGHTED HYPERGROUPS [PDF]
Journal of Sciences, Islamic Republic of Iran, 1996 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 ??
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A novel study on the structure of left almost hypermodules. [PDF]
HeliyonAbughazalah N +3 more
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, 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
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Symmetry, 2023 Symmetries in the context of hypergroups and their generalizations are closely related to the algebraic structures and transformations that preserve certain properties of hypergroup operations. Symmetric LA-hypergroups are indeed commutative hypergroups.
Muhammad Gülistan +2 more
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Enumeration of Rosenberg hypergroups
Computers and Mathematics With Applications, 2010 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Irina Cristea, Morteza Jafarpour
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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.
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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.
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Isomorphisms of hypergroups and of n-hypergroups with applications
Soft Computing, 2008Connections 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
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Transposition hypergroups and complement hypergroups
Journal of Discrete Mathematical Sciences and Cryptography, 2003Abstract 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
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