Monotone clones and the varieties they determine

DOI10.1007/BF00383763zbMath0734.08001MaRDI QIDQ810555

Dietmar Schweigert, Robert W. Quackenbush, Brian A. Davey

Publication date: 1990

Published in: Order (Search for Journal in Brave)

zbMATH Keywords

near unanimity functioncategory equivalencecongruence-distributive varietymonotone cloneorder-primal algebra

Mathematics Subject Classification ID

Partial orders, general (06A06) Operations and polynomials in algebraic structures, primal algebras (08A40) Congruence modularity, congruence distributivity (08B10) Categories of algebras (08C05)

Related Items (12)

Near unanimity: An obstacle to general duality theory ⋮ Dualities and algebras with a near-unanimity term ⋮ Category equivalences of clones ⋮ Posets, near unanimity functions and zigzags ⋮ When is a natural duality `good'? ⋮ Monotone clones and congruence modularity ⋮ Natural extensions and profinite completions of algebras ⋮ \(n\)-median semilattices ⋮ On constantive simple and order-primal algebras ⋮ Commutator Theory for Relatively Modular Quasivarieties ⋮ Monotone Jónsson operations and near unanimity functions ⋮ Natural examples of quasivarieties with EDPM

Cites Work

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• Pseudovarieties of finite algebras isomorphic to bounded distributive lattices
• The strong selection property and ordered sets of finite length
• Clones, order varieties, near unanimity functions and holes
• On algebraic properties of monotone clones
• A structure theory for ordered sets
• Exponents of lattice-ordered algebras
• Near unanimity identities and congruence distributivity in equational classes
• Exponents of Finite Simple Lattices

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