English

Counting relations on Ockham algebras

Rings and Algebras 2015-01-13 v1

Abstract

We find all finite Ockham algebras that admit only finitely many compatible relations (modulo a natural equivalence). Up to isomorphism and symmetry, these Ockham algebras form two countably infinite families: one family consists of the quasi-primal Ockham algebras, and the other family is a sequence of generalised Stone algebras.

Keywords

Cite

@article{arxiv.1501.02404,
  title  = {Counting relations on Ockham algebras},
  author = {Brian A. Davey and Long T. Nguyen and Jane G. Pitkethly},
  journal= {arXiv preprint arXiv:1501.02404},
  year   = {2015}
}

Comments

29 pages

R2 v1 2026-06-22T07:57:24.619Z