Counting relations on Ockham algebras

Authors :: Davey, Brian A.
Nguyen, Long T.
Pitkethly, Jane G.
Publication Year :: 2015
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.<br />Comment: 29 pages