Priestley duality and quotient lattices of many-valued algebras

DOI10.1007/BF02845075zbMath0787.06013OpenAlexW2024176691MaRDI QIDQ1192092

Roberto L. O. Cignoli, Ada Lettieri, Antonio Di Nola

Publication date: 27 September 1992

Published in: Rendiconti del Circolo Matemàtico di Palermo. Serie II (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02845075

zbMATH Keywords

Priestley dualityPost algebrasordered topological spacescategory of bounded distributive latticescategory of MV-algebras

Mathematics Subject Classification ID

Other algebras related to logic (03G25) De Morgan algebras, ?ukasiewicz algebras (lattice-theoretic aspects) (06D30) Ordered topological structures (06F30) Post algebras (lattice-theoretic aspects) (06D25)

Related Items (5)

Projective limits of \(MV\)-spaces ⋮ Sheaf representations of MV-algebras and lattice-ordered abelian groups via duality ⋮ One chain generated varieties of MV-algebras ⋮ The spectrum problem for abelian \(\ell\)-groups and MV-algebras ⋮ Subdirect product decompositions of MV-algebras

Cites Work

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• The Priestley duality for Wajsberg algebras
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• An algebraic approach to non-classical logics
• The lattice of global sections of sheaves of chains over Boolean spaces
• Relative annihilators in lattices
• Semisimple Algebras of Infinite Valued Logic and Bold Fuzzy Set Theory
• Algebraic Analysis of Many Valued Logics
• A New Proof of the Completeness of the Lukasiewicz Axioms
• Ordered Topological Spaces and the Representation of Distributive Lattices
• Logics Which Are Characterized by Subresiduated Lattices
• Representation of Distributive Lattices by means of ordered Stone Spaces
• Normal lattices

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