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Compatible relations on Heyting chains

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Abstract

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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Correspondence to Jane G. Pitkethly.

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Presented by K. Kaarli.

The first author is supported by a La Trobe University Postgraduate Scholarship, and the second by a Charles La Trobe Fellowship.

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Nguyen, L.T., Pitkethly, J.G. Compatible relations on Heyting chains. Algebra Univers. 67, 63–80 (2012). https://doi.org/10.1007/s00012-012-0170-7

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  • DOI: https://doi.org/10.1007/s00012-012-0170-7

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