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��-Amenable Hypergroups

2009
Let $K$ denote a locally compact commutative hypergroup, $L^1(K)$ the hypergroup algebra, and $ $ a real-valued hermitian character of $K$. We show that $K$ is $ $-amenable if and only if $L^1(K)$ is $ $-left amenable. We also consider the $ $-amenability of hypergroup joins and polynomial hypergroups in several variables as well as a single ...
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Cyclic hypergroups and torsion in hypergroups

1980
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.
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Partition Hypergroups

American Journal of Mathematics, 1940
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Hypergroups

American Journal of Mathematics, 1937
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K_H-hypergroups

1982
It is known that we can obtain from a semigroup S a class H of complete semihypergroups such that, for every semihypergroup H∈H , H/β* =S . In this paper the author generalizes the previous construction, obtaining some interesting results on a semihypergroup K_H constructed from an arbitrary semihypergroup H . Several results on K_H are obtained.
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Hypergroup Theory

2021
Bijan Davvaz, Violeta Leoreanu-Fotea
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