Coproducts of distributive lattice-based algebras.

DOI10.1007/s00012-014-0302-3zbMath1312.06009arXiv1308.4650OpenAlexW1984218673MaRDI QIDQ471163

Leonardo Manuel Cabrer, Hilary A. Priestley

Publication date: 14 November 2014

Published in: Algebra Universalis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1308.4650

zbMATH Keywords

coproductsdistributive latticesordered algebraspiggyback dualitynatural dualitiesdistributive lattice reductsfunctor preserving coproducts

Mathematics Subject Classification ID

Lattices and duality (06D50) Categories admitting limits (complete categories), functors preserving limits, completions (18A35) Quasivarieties (08C15) De Morgan algebras, ?ukasiewicz algebras (lattice-theoretic aspects) (06D30) Products, amalgamated products, and other kinds of limits and colimits (08B25) Natural dualities for classes of algebras (08C20)

Related Items (8)

Natural dualities through product representations: bilattices and beyond ⋮ Expanding Belnap 2: the dual category in depth ⋮ Piggyback dualities revisited ⋮ Sugihara algebras and Sugihara monoids: Multisorted dualities ⋮ Gödel algebras: interactive dualities and their applications. ⋮ Product representation for default bilattices: an application of natural duality theory. ⋮ Unnamed Item ⋮ Distributive bilattices from the perspective of natural duality theory.

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Gödel algebras: interactive dualities and their applications.
• Advanced Łukasiewicz calculus and MV-algebras
• Locally finite varieties of Heyting algebras
• Coproducts in the categories of Kleene and three-valued Lukasiewicz algebras
• Representation of Lukasiewicz algebras by means of ordered Stone spaces
• Quantifiers on distributive lattices
• Lukasiewicz-Moisil algebras
• Locally finite varieties.
• Algebraic foundations of many-valued reasoning
• Natural dualities for varieties of \(n\)-valued Łukasiewicz algebras
• Free \(Q\)-distributive lattices
• Optimal natural dualities for varieties of Heyting algebras
• Partition-induced natural dualities for varieties of pseudo-complemented distributive lattices
• Computing coproducts of finitely presented Gödel algebras
• Piggyback-Dualitäten
• Dualities for Equational Classes of Brouwerian Algebras and Heyting Algebras
• Coproducts of De Morgan algebras
• Varieties of MV-algebras
• Free products of bounded distributive lattices
• Natural dualities for varieties of MV-algebras. I

This page was built for publication: Coproducts of distributive lattice-based algebras.