Are Ramsey Algebras Essentially Semigroups
arXiv:1703.09412
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.
9 pages, presented at the 2016 Asian Mathematical Conference at Bali, Indonesia