English

Ramsey theory for hypergroups

Combinatorics 2020-04-03 v2 Functional Analysis

Abstract

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 α\alpha-Ramsey hypergroup, 0α<1,0 \leq \alpha<1, are defined and studied.

Keywords

Cite

@article{arxiv.1807.01450,
  title  = {Ramsey theory for hypergroups},
  author = {Vishvesh Kumar and Kenneth A. Ross and Ajit Iqbal Singh},
  journal= {arXiv preprint arXiv:1807.01450},
  year   = {2020}
}

Comments

29 pages, In this version apparently new levels of Ramsey theory for hypergroups have been added along with mainly two extra related results

R2 v1 2026-06-23T02:50:15.202Z