Priestley configurations and Heyting varieties (Q998769)

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scientific article; zbMATH DE number 5500515
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Priestley configurations and Heyting varieties
scientific article; zbMATH DE number 5500515

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    Priestley configurations and Heyting varieties (English)
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    29 January 2009
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    The first two authors showed [Cah. Topol. Géom. Différ. Catég. 45, No.~1, 2--22 (2004; Zbl 1062.06020)] that the class of all Heyting algebras whose Priestley dual contains no copy of a given configuration forms a variety iff the configuration is a tree. The present paper characterizes finitely generated varieties of Heyting algebras given by prohibiting a system of trees in their Priestley duals.
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    distributive lattice
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    Priestley duality
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    Heyting algebra
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    variety
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