A spectral-style duality for distributive posets

DOI10.1007/s11083-017-9435-2zbMath1412.06005OpenAlexW2727299372WikidataQ58887364 ScholiaQ58887364MaRDI QIDQ722594

Luciano J. González, Ramon Jansana

Publication date: 27 July 2018

Published in: Order (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11083-017-9435-2

zbMATH Keywords

posetdistributivitycompletiontopological duality

Mathematics Subject Classification ID

Partial orders, general (06A06) Lattices and duality (06D50) Algebraic aspects of posets (06A11) Preorders, orders, domains and lattices (viewed as categories) (18B35) Semilattices (06A12)

Related Items (3)

Solution to two problems on ideally conjunctive join-semilattices ⋮ A categorical duality for semilattices and lattices ⋮ The free distributive semilattice extension of a distributive poset

Cites Work

• Canonical extensions of posets.
• Generalized Kripke frames
• The Dedekind-MacNeille completion as a reflector
• Ideal completion and Stone representation of ideal-distributive ordered sets
• \(\Delta_1\)-completions of a poset.
• Distributive partially ordered sets
• Bounded distributive lattice expansions
• Canonical extensions and relational completeness of some substructural logics
• The Theory of Representation for Boolean Algebras
• Topological representations of distributive lattices and Brouwerian logics
• Ideals in Partially Ordered Sets
• Bounded lattice expansions
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