English

Term algebras of elementarily equivalent atom structures

Logic 2025-02-12 v1

Abstract

We exhibit two relation algebra atom structures such that they are elementarily equivalent but their term algebras are not. This answers Problem 14.19 in the book Hirsch, R. and Hodkinson, I., "Relation Algebras by Games", North-Holland, 2002.

Keywords

Cite

@article{arxiv.1803.11038,
  title  = {Term algebras of elementarily equivalent atom structures},
  author = {H. Andréka and I. Németi},
  journal= {arXiv preprint arXiv:1803.11038},
  year   = {2025}
}
R2 v1 2026-06-23T01:08:45.850Z