Counting relations on Ockham algebras

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 sequenc...

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Hauptverfasser: Davey, Brian A, Nguyen, Long T, Pitkethly, Jane G
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Sprache:eng
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Zusammenfassung: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.
DOI:10.48550/arxiv.1501.02404