Natural dualities for varieties of \(n\)-valued Łukasiewicz algebras

DOI10.1007/BF01053004zbMath0826.06007MaRDI QIDQ1893123

Hilary A. Priestley

Publication date: 3 July 1995

Published in: Studia Logica (Search for Journal in Brave)

zbMATH Keywords

equational basesfree algebraspiggyback dualitynatural dualitieshom- functorsPriestley dualitiesvarieties of \(n\)-valued Lukasiewicz algebras

Mathematics Subject Classification ID

Adjoint functors (universal constructions, reflective subcategories, Kan extensions, etc.) (18A40) Free algebras (08B20) De Morgan algebras, ?ukasiewicz algebras (lattice-theoretic aspects) (06D30) Logical aspects of ?ukasiewicz and Post algebras (03G20)

Related Items (4)

Unnamed Item ⋮ Coproducts of distributive lattice-based algebras. ⋮ Sugihara algebras and Sugihara monoids: Multisorted dualities ⋮ Applications of Priestley duality in transferring optimal dualities

Cites Work

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• A note on the axiomatization of equational classes of n-valued Łukasiewicz algebras
• Representation of Lukasiewicz algebras by means of ordered Stone spaces
• Lukasiewicz-Moisil algebras
• The determination of subvarieties of certain congruence-distributive varieties
• Partition-induced natural dualities for varieties of pseudo-complemented distributive lattices
• Optimal Natural Dualities
• Piggyback-Dualitäten
• Representation of Distributive Lattices by means of ordered Stone Spaces
• Representation of Łukasiewicz and Post algebras by continuous functions
• Equational bases for varieties of Ockham algebras

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