Structural Considerations of Ramsey Algebras
Logic
2020-04-23 v3 Combinatorics
Abstract
Ramsey algebras is an attempt to investigate Ramsey spaces generated by algebras in a purely combinatorial fashion. Previous studies have focused on the basic properties of Ramsey algebras and the study of a few specific examples. In this article, we study the properties of Ramsey algebras from a structural point of view. For instance, we will see that isomorphic algebras have the same Ramsey algebraic properties, but elementarily equivalent algebras need not be so, as expected. Answer to a long-standing question about the Cartesian products of Ramsey algebras is also given.
Cite
@article{arxiv.1910.09724,
title = {Structural Considerations of Ramsey Algebras},
author = {Zu Yao Teoh},
journal= {arXiv preprint arXiv:1910.09724},
year = {2020}
}
Comments
19 pages