On Priestley spaces of lattice-ordered algebraic structures

DOI10.1023/A:1006224930256zbMath0941.06012OpenAlexW1484061781MaRDI QIDQ1970922

Hilary A. Priestley, Néstor G. Martínez

Publication date: 26 July 2000

Published in: Order (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1006224930256

zbMATH Keywords

dualitylattice-ordered groupPriestley spaceimplicative latticeprime lattice filters

Mathematics Subject Classification ID

Heyting algebras (lattice-theoretic aspects) (06D20) Structure and representation theory of distributive lattices (06D05) Other algebras related to logic (03G25) Stone spaces (Boolean spaces) and related structures (06E15) MV-algebras (06D35) Ordered groups (06F15) De Morgan algebras, ?ukasiewicz algebras (lattice-theoretic aspects) (06D30) Ordered abelian groups, Riesz groups, ordered linear spaces (06F20)

Related Items (9)

Priestley dualities for some lattice-ordered algebraic structures, including MTL, IMTL and MV-algebras ⋮ Canonical extensions of double quasioperator algebras: an algebraic perspective on duality for certain algebras with binary operations ⋮ Restricted Priestley dualities and discriminator varieties ⋮ Sheaf representations of MV-algebras and lattice-ordered abelian groups via duality ⋮ The variety of modal weak Gödel algebras ⋮ Duality for double quasioperator algebras via their canonical extensions ⋮ On products of posets and coproducts of KM-algebras ⋮ Prelinear Hilbert algebras ⋮ On prelinear Hilbert algebras with successor

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