Vishvesh Kumar, Kenneth A. Ross, Ajit Iqbal Singh
Published 2018-07-04Version 1
In this paper, Ramsey theory for discrete hypergroups is introduced with emphasis on polynomial hypergroups, discrete orbit hypergroups and hypergroup deformations of semigroups. In this context, new notions of Ramsey principle for hypergroups and recurrent hypergroups are defined and studied. Several examples to distinguish them from each other are given.
Comments: 26 pages, This paper has its origin in a minor part of the first three versions of arXiv:1707.09004, which is no longer included in later versions
Schreier Sets in Ramsey Theory
Ramsey theory for layered semigroups
Remarks on a Ramsey theory for trees
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