English

Finite representations for two small relation algebras

Logic 2017-12-04 v1 Rings and Algebras

Abstract

In this note, we give two different proofs that relation algebra 526552_{65} is representable over a finite set. The first is probabilistic, and uses Johnson schemes. The second is an explicit group representation over (Z/2Z)10 (\mathbb{Z}/2\mathbb{Z})^{10}. We also give a finite representation of 596559_{65} over Z/113Z\mathbb{Z}/113\mathbb{Z} using a technique due to Comer.

Keywords

Cite

@article{arxiv.1712.00129,
  title  = {Finite representations for two small relation algebras},
  author = {Jeremy F. Alm and Roger D. Maddux},
  journal= {arXiv preprint arXiv:1712.00129},
  year   = {2017}
}
R2 v1 2026-06-22T23:03:12.439Z