Abstract
We generalize Priestley duality for distributive lattices to a duality for distributive meet-semilattices. On the one hand, our generalized Priestley spaces are easier to work with than Celani’s DS-spaces, and are similar to Hansoul’s Priestley structures. On the other hand, our generalized Priestley morphisms are similar to Celani’s meet-relations and are more general than Hansoul’s morphisms. As a result, our duality extends Hansoul’s duality and is an improvement of Celani’s duality.
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Bezhanishvili, G., Jansana, R. Priestley Style Duality for Distributive Meet-semilattices. Stud Logica 98, 83–122 (2011). https://doi.org/10.1007/s11225-011-9323-5
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DOI: https://doi.org/10.1007/s11225-011-9323-5