English

Ramsey Algebras

Combinatorics 2016-08-04 v3

Abstract

Hindman's theorem says that every finite coloring of the natural numbers has a monochromatic set of finite sums. Ramsey algebras are structures that satisfy an analogue of Hindman's Theorem. This paper introduces Ramsey algebras and presents some elementary results. Furthermore, their connection to Ramsey spaces will be addressed.

Keywords

Cite

@article{arxiv.1403.5831,
  title  = {Ramsey Algebras},
  author = {Wen Chean Teh},
  journal= {arXiv preprint arXiv:1403.5831},
  year   = {2016}
}

Comments

14 pages. Minor revision of the previous version. Pre-print

R2 v1 2026-06-22T03:32:33.193Z