From a lattice to its ideal lattice

DOI10.1007/BF02485732zbMath0298.06003OpenAlexW2037974439MaRDI QIDQ1214449

Alfred W. Hales, Kirby A. Baker

Publication date: 1974

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

Full work available at URL: https://doi.org/10.1007/bf02485732

Mathematics Subject Classification ID

Structure theory of lattices (06B05) Varieties (08B99) Nonstandard models (03H99)

Related Items (11)

Corrigendum: Gluings of modular lattices ⋮ Structure of lattices of varieties and lattices of quasivarieties: Similarity and difference. II ⋮ Relative projectivity and transferability for partial lattices ⋮ A proof that \(\mathcal J(L)\) belongs to \(HSP\{L\}\) ⋮ Finitely based congruence varieties ⋮ Positive modal logic beyond distributivity ⋮ Remarks about the Q-lattice of the variety of lattices ⋮ MacNeille transferability and stable classes of Heyting algebras ⋮ Finite projective lattices are sharply transferable ⋮ Priestley duality for order-preserving maps into distributive lattices ⋮ Complemented modular lattices with involution and orthogonal geometry

Cites Work

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• On transferable semilattices
• The embedding of a distributive lattice into its ideal lattice is pure
• Free lattices
• Identities in Finite Partition Lattices
• Finite Sublattices of a Free Lattice
• Distributive Sublattices of a Free Lattice
• Relation of the Exact Transient Solution for a Line Source near an Interface between Two Fluids to Geometrical Acoustics
• Partition Representations of Free Lattices
• A Simple Solution to the Word Problem for Lattices
• Equational axioms for classes of lattices
• On the relation of a distributive lattice to its lattice of ideals
• Equational Bases and Nonmodular Lattice Varieties
• Lattices, equivalence relations, and subgroups
• Non-standard analysis

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