The automorphism group of a function lattice: A problem of Jónsson and McKenzie

DOI10.1007/BF01192707zbMath0870.06001MaRDI QIDQ1363437

Jonathan David Farley

Publication date: 7 August 1997

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

zbMATH Keywords

automorphism grouplogarithmexponentiationDedekind-MacNeille completionideal completionfunction lattice\(jm\)-latticestrict refinement property

Mathematics Subject Classification ID

Complete lattices, completions (06B23) Lattice ideals, congruence relations (06B10) Ordered groups (06F15) Automorphisms and endomorphisms of algebraic structures (08A35) Subdirect products and subdirect irreducibility (08B26)

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Cites Work

• Automorphisms and products of ordered sets
• Powers of ordered sets
• Generalized arithmetic
• A Logarithmic Property for Exponents of Partially Ordered Sets
• Powers of partially ordered sets: Cancellation and reffinement properties.
• Powers of partially ordered sets: The automorphism group.
• The Factorization and Representation of Lattices
• Ordered topological spaces and the coproduct of bounded distributive lattices
• Structure Results for Function Lattices
• Refinement properties for relational structures
• Representation of Distributive Lattices by means of ordered Stone Spaces
• Free products of bounded distributive lattices
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