On the number of atoms in three-generated lattices

DOI10.14232/actasm-020-769-4zbMath1474.06012arXiv2001.03188OpenAlexW3163054335MaRDI QIDQ4997646

Gábor Czédli

Publication date: 29 June 2021

Published in: Acta Scientiarum Mathematicarum (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2001.03188

zbMATH Keywords

semimodular latticeconvex geometrycoatomsemidistributive latticenumber of atoms2-distributive latticemeet-distributive latticethree-generated lattice\(n\)-distributive latticeatomless latticeherringbone latticenon-finitely presented lattice

Mathematics Subject Classification ID

Structure theory of lattices (06B05) Other generalizations of distributive lattices (06D75)

Related Items

Atoms and coatoms in three-generated lattices

Cites Work

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• Note on the description of join-distributive lattices by permutations
• A use for frequently rediscovering a concept
• The free lattice generated by a set of chains
• The theory of convex geometries
• Meet-distributive lattices and the anti-exchange closure
• On G. Grätzer's problem concerning automorphisms of a finitely presented lattice
• Finiteness properties of direct products of algebraic structures
• Join-semidistributive lattices and convex geometries.
• \(n\)-distributivity, dimension and Carathéodory's theorem
• \((1+1+2)\)-generated equivalence lattices
• Finite convex geometries of circles
• Medians are below joins in semimodular lattices of breadth 2
• Coordinatization of finite join-distributive lattices.
• Lattices with unique irreducible decompositions
• Free and Finitely Presented Lattices
• Lattices embeddable in three-generated lattices
• Lattice Theory: Foundation
• Finitely Presented Lattices: Canonical Forms and the Covering Relation
• On the Ubiquity of Herringbones in Finitely Generated Lattices
• On Finitely Generated Lattices of Finite Width
• Planar Lattices
• A concise approach to small generating sets of lattices of quasiorders and transitive relations
• Generating subdirect products
• Four-generated quasiorder lattices and their atoms in a four-generated sublattice
• Free Lattices with Infinite Operations