Are Ramsey Algebras Essentially Semigroups
Logic
2017-03-29 v1
Abstract
It is known that semigroups are Ramsey algebras. This paper is an attempt to understand the role associativity plays in a binary system being a Ramsey algebra. Specifically, we show that the nonassociative Moufang loop of octonions is not a Ramsey algebra.
Keywords
Cite
@article{arxiv.1703.09412,
title = {Are Ramsey Algebras Essentially Semigroups},
author = {ZuYao Teoh and Andrew Rajah and Wen Chean Teh},
journal= {arXiv preprint arXiv:1703.09412},
year = {2017}
}
Comments
9 pages, presented at the 2016 Asian Mathematical Conference at Bali, Indonesia