Distributive Lattices with Quantifiers: Topological Representation
نویسنده
چکیده
We give a representation of distributive lattices with the existential quantifier in terms of spectral spaces, which is an alternative to Cignoli’s representation in terms of Priestley spaces. Then we describe dual spectral spaces of subdirectly irreducible and simple Q-distributive lattices and prove that the variety QDist of Q-distributive lattices does not have the congruence extension property and that there exist non-surjective epimorphisms in QDist.
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