Tight embedding of modular lattices into partition lattices: progress and program

DOI10.1007/s00012-018-0559-zOpenAlexW2605878155WikidataQ129122054 ScholiaQ129122054MaRDI QIDQ1800461

Marcel Wild

Publication date: 24 October 2018

Published in: Algebra Universalis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1704.03715

zbMATH Keywords

binary matroidsmodularitypartition lattice2-distributivitycover-preserving lattice embeddinggraphs and their (chordless) circuitskinds of projective spaces and their cycles

Mathematics Subject Classification ID

Partitions of sets (05A18) Combinatorial aspects of matroids and geometric lattices (05B35) General theory of linear incidence geometry and projective geometries (51A05) Modular lattices, Desarguesian lattices (06C05) Lattices of subspaces and geometric closure systems (51D25)

Cites Work

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• Über modulare Verbände, die von einer endlichen halbgeordneten Menge frei erzeugt werden
• Lattice Theory: Foundation
• Matroids and Graphs
• Projective Geometry on Partially Ordered Sets

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