Intervals in lattices of \(\kappa\)-meet-closed subsets

DOI10.1007/s11083-004-3716-2zbMath1084.06005OpenAlexW1982517998WikidataQ48586508 ScholiaQ48586508MaRDI QIDQ2572466

Marcel Erné

Publication date: 9 November 2005

Published in: Order (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11083-004-3716-2

zbMATH Keywords

intervalcomplete latticesemilatticeirreducibleprimeweakly atomicextremally detachablemeet-closedstrongly coatomic

Mathematics Subject Classification ID

Complete lattices, completions (06B23) Semilattices (06A12) Galois correspondences, closure operators (in relation to ordered sets) (06A15)

Cites Work

• Semidistributive and coalgebraic lattices of subsemilattices
• The theory of convex geometries
• Canonical decompositions in complete lattices
• Bigeneration in complete lattices and principal separation in ordered sets
• Posets generated by irreducible elements
• Collection of finite lattices generated by a poset
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