A use for frequently rediscovering a concept

DOI10.1007/BF00582748zbMath0558.06010OpenAlexW2002125379WikidataQ56387988 ScholiaQ56387988MaRDI QIDQ762512

Bernard Monjardet

Publication date: 1985

Published in: Order (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00582748

zbMATH Keywords

historicallower semidistributive lattices

Mathematics Subject Classification ID

History of mathematics in the 20th century (01A60) Structure and representation theory of distributive lattices (06D05) History of ordered structures (06-03)

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Cites Work

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• Application of the join-irreducible excess function to semi-modular lattices
• Meet-distributive lattices and the anti-exchange closure
• The representation of posets and lattices by sets
• Convexity closure operators
• The lattice of convex sets of an oriented matroid
• The subposet lattice and the order polynomial
• Locally atomic upper locally distributive lattices
• Submodular functions and independence structures
• Increase in the join-excess function in a lattice
• Distributive properties in semi-modular lattices
• Generalized convexity lattices
• The lattice of natural partial orders
• Lattices with unique irreducible decompositions
• Decomposition Theory for Lattices Without Chain Conditions
• Treillis de Séparation des Graphes
• Sur l'ensemble ordonné des parties connexes d'un graphe connexe
• A lattice characterization of convexity
• Natural Partial Orders
• Semihomomorphisms of Semimodular Lattices
• Ideals in Birkhoff Lattices
• Combinatorial reciprocity theorems