Ramsey Algebras
arXiv:1403.5831 · doi:10.1142/S0219061316500057
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.
14 pages. Minor revision of the previous version. Pre-print