Remarks on Priestley duality for distributive lattices

DOI10.1007/BF00383451zbMath0754.06006WikidataQ56851535 ScholiaQ56851535MaRDI QIDQ1183950

S. Singh

Publication date: 28 June 1992

Published in: Order (Search for Journal in Brave)

zbMATH Keywords

dualityPriestley spacesbounded distributive lattices0-preserving join-homomorphisms

Mathematics Subject Classification ID

Structure and representation theory of distributive lattices (06D05)

Related Items (26)

Modules with fusion and implication based over distributive lattices: representation and duality ⋮ Deciding Frattini is NP-complete ⋮ Frontal operators in distributive lattices with a generalized implication ⋮ Algebras with implication and fusion: a different point of view. ⋮ A duality for two-sorted lattices ⋮ Free \(Q\)-distributive lattices ⋮ Distributive lattices with an operator ⋮ A categorical equivalence for bounded distributive quasi lattices satisfying: x ∨ 0 = 0 ⇒ x = 0 ⋮ The variety of modal weak Gödel algebras ⋮ Remarks on hyperspaces for Priestley spaces ⋮ Subordinations on bounded distributive lattices ⋮ Continuation sheaves in dynamics: sheaf cohomology and bifurcation ⋮ Generalized Priestley quasi-orders ⋮ Frontal operators in weak Heyting algebras ⋮ Lattice subordinations and Priestley duality. ⋮ X Latin American Symposium on Mathematical Logic ⋮ Bitopological duality for distributive lattices and Heyting algebras ⋮ The enriched Vietoris monad on representable spaces ⋮ Generating the algebraic theory of $C(X)$: the case of partially ordered compact spaces ⋮ Priestley duality for order-preserving maps into distributive lattices ⋮ Duality theory for enriched Priestley spaces ⋮ Limits in categories of Vietoris coalgebras ⋮ Quasi-modal lattices ⋮ Easkia Duality and Its Extensions ⋮ Dualities for modal algebras from the point of view of triples ⋮ Distributive Lattices with a Negation Operator

Cites Work

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• A duality for Boolean algebras with operators
• The Frattini sublattice of a distributive lattice
• Ordered Topological Spaces and the Representation of Distributive Lattices
• A selection theorem for Boolean correspondences.
• Representation of Distributive Lattices by means of ordered Stone Spaces
• Extension of Boolean homomorphisms with bounding semimorphisms.
• Boolean Algebras with Operators. Part I
• Modal Operators, Equivalence Relations, and Projective Algebras

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