The poset of closure systems on an infinite poset: detachability and semimodularity

DOI10.4171/PM/1872zbMath1210.06002MaRDI QIDQ616624

Christian Ronse

Publication date: 12 January 2011

Published in: Portugaliae Mathematica. Nova Série (Search for Journal in Brave)

zbMATH Keywords

posetclosure operatorclosure systemdetachabilitylower semimodularityMLB-closed set

Mathematics Subject Classification ID

Semimodular lattices, geometric lattices (06C10) Galois correspondences, closure operators (in relation to ordered sets) (06A15)

Related Items

Reflections on a scientific career and its possible legacy, Semimodularity and the Jordan-Hölder theorem in posets, with applications to partial partitions

Cites Work

• Unnamed Item
• Unnamed Item
• On closure operators
• Lattices and ordered algebraic structures
• The lattices of closure systems, closure operators, and implicational systems on a finite set: A survey
• Join congruence relations and closure relations
• Characterizations of Finite Lattices that are Bounded-Homomqrphic Images or Sublattices of Free Lattices
• THE LATTICE THEORY OF FUNCTIONAL DEPENDENCIES AND NORMAL DECOMPOSITIONS