  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.
