Finite Sublattices of a Free Lattice

DOI10.2307/1998606zbMath0507.06007OpenAlexW4250133184MaRDI QIDQ4744309

J. B. Nation

Publication date: 1982

Full work available at URL: https://doi.org/10.2307/1998606

zbMATH Keywords

Whitman's conditionfinite semidistributive latticesublattice of free lattice

Mathematics Subject Classification ID

Representation theory of lattices (06B15) Structure and representation theory of distributive lattices (06D05) Free lattices, projective lattices, word problems (06B25)

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Cites Work

• Unnamed Item
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• The free lattice generated by a set of chains
• A note on finite sublattices of free lattices
• A note on Whitman's property for free lattices
• A characterization of semi-distributivity
• Finite projective lattices are sharply transferable
• An application of Whitman's condition to lattices with no infinite chains
• Projective lattices
• Projective lattices and bounded homomorphisms
• Free lattices
• Free lattices. II
• Finite Sublattices of a Free Lattice
• Characterizations of Finite Lattices that are Bounded-Homomqrphic Images or Sublattices of Free Lattices
• A Characterization of Sharply Transferable Lattices
• Finite Transferable Lattices are Sharply Transferable
• Sharp Transferability and Finite Sublattices of Free Lattices
• Planar Sublattices of a Free Lattice. II
• Sharply Transferable Lattices
• Relatively free lattices
• Sublattices of a Free Lattice
• Distributive Sublattices of a Free Lattice
• Equational Bases and Nonmodular Lattice Varieties