Compatible relations on Heyting chains

Compatible relations on Heyting chains

We give a sufficient condition for a finite algebra to admit only finitely many compatible relations (modulo a natural equivalence) and show that every finite Heyting chain satisfies this condition, thereby confirming a conjecture of Davey and Pitkethly.

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Veröffentlicht in:Algebra universalis 2012-02, Vol.67 (1), p.63-80
Hauptverfasser: Nguyen, Long T., Pitkethly, Jane G.
Format: Artikel
Sprache:eng
Schlagworte:
Algebra
Mathematics
Mathematics and Statistics
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Zusammenfassung:We give a sufficient condition for a finite algebra to admit only finitely many compatible relations (modulo a natural equivalence) and show that every finite Heyting chain satisfies this condition, thereby confirming a conjecture of Davey and Pitkethly.
ISSN:0002-5240
1420-8911
DOI:10.1007/s00012-012-0170-7