English

Relation Algebras Compatible with $\mathbb{Z}_2$-sets

Logic 2025-04-01 v2

Abstract

We provide a characterization of those relation algebras which are isomorphic to the algebras of compatible relations of some Z2\Z_2-set. We further prove that this class is finitely axiomatizable in first-order logic in the language of relation algebras.

Keywords

Cite

@article{arxiv.2503.08566,
  title  = {Relation Algebras Compatible with $\mathbb{Z}_2$-sets},
  author = {Jeremy F. Alm and John W. Snow},
  journal= {arXiv preprint arXiv:2503.08566},
  year   = {2025}
}

Comments

Small error from previous version has been fixed

R2 v1 2026-06-28T22:16:06.969Z