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Distributive lattices with a generalized implication: topological duality

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Publication:634749
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DOI10.1007/s11083-010-9168-yzbMath1226.03063OpenAlexW2061060225MaRDI QIDQ634749

Ramon Jansana, Jorge E. Castro, Sergio Arturo Celani

Publication date: 16 August 2011

Published in: Order (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11083-010-9168-y

zbMATH Keywords

Priestley dualityannihilatorgeneralized implicationquasi-modal operatorweakly Heyting algebras


Mathematics Subject Classification ID

Logical aspects of lattices and related structures (03G10) Heyting algebras (lattice-theoretic aspects) (06D20) Topological lattices (06B30) Topological representations of algebraic systems (54H10)


Related Items

Frontal operators in distributive lattices with a generalized implication



Cites Work

  • Unnamed Item
  • A closer look at some subintuitionistic logics
  • Relative annihilators in lattices
  • Quasi-modal lattices
  • Ordered Topological Spaces and the Representation of Distributive Lattices
  • Bounded distributive lattices with strict implication
  • Representation of Distributive Lattices by means of ordered Stone Spaces
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