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arxiv: 1501.02404 · v1 · pith:64MNFOCRnew · submitted 2015-01-10 · 🧮 math.RA

Counting relations on Ockham algebras

classification 🧮 math.RA
keywords algebrasockhamfamilyrelationsadmitcompatibleconsistscountably
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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.

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