Free Modal Lattices via Priestley Duality |
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| Authors: | Wegener Claudia B. |
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| Affiliation: | (1) Mathematical Institute, University of Oxford, 24–29 St. Giles, Oxford, OX1 3LB, United Kingdom |
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| Abstract: | A Priestley duality is developed for the variety j of all modal lattices. This is achieved by restricting to j a known Priestley duality for the variety of all bounded distributive lattices with a meet-homomorphism. The variety j was first studied by R. Beazer in 1986.The dual spaces of free modal lattices are constructed, paralleling P.R. Halmos' construction of the dual spaces of free monadic Boolean algebras and its generalization, by R. Cignoli, to distributive lattices with a quantifier. |
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| Keywords: | Priestley duality opposite Priestley relation (free) modal lattice |
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