On hypergroups arising from perturbation of semigroups

Vishvesh Kumar, Ajit Iqbal Singh

Published 2017-07-27Version 1

We view the well-known example of a countable compact hypergroup motivated by the orbit space of p-adic integers by Dunkl and Ramirez (1975) as perturbation of the max-min semigroup structure on the diagonal and study hypergroups or semi convolution spaces arising from general commutative semigroups via perturbation on idempotents. Another motivation for this came from Ramsey theory for finite sums, which we initiate in the context of hypergroups somewhat on the lines of Willson (2014).