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The Basic Theorem on Preconcept Lattices

  • Christian Burgmann
  • Rudolf Wille
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 3874)

Abstract

Preconcept Lattices are identified to be (up to isomorphism) the completely distributive complete lattices in which the supremum of all atoms is equal or greater than the infimum of all coatoms. This is a consequence of the Basic Theorem on Preconcept Lattices, which also offers means for checking line diagrams of preconcept lattices.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2006

Authors and Affiliations

  • Christian Burgmann
    • 1
  • Rudolf Wille
    • 1
  1. 1.Fachbereich MathematikTechnische Universität DarmstadtDarmstadt

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