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1 results

  • STRUCTURAL CONSIDERATIONS OF RAMSEY ALGEBRAS

  • Part of
  • ZU YAO TEOH
  • Journal:
    The Journal of Symbolic Logic / Volume 87 / Issue 4 / December 2022
    Published online by Cambridge University Press:
    29 October 2021, pp. 1677-1692
    Print publication:
    December 2022

  • Ramsey algebras are 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 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. We also answer an open question about Cartesian products of Ramsey algebras.