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On a characterization of distributive lattices by the betweenness relation

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Publication:1913873
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DOI10.1007/BF01195499zbMath0860.06004MaRDI QIDQ1913873

Miroslav Ploščica

Publication date: 21 April 1997

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


zbMATH Keywords

ternary relationbetweenness relationfirst-order propertyfirst-order axiomatizable


Mathematics Subject Classification ID

Structure and representation theory of distributive lattices (06D05) Structure theory of lattices (06B05) Basic properties of first-order languages and structures (03C07)


Related Items (3)

Betweenness relations in a categorical setting ⋮ On setwise betweenness ⋮ Topologies induced by the representation of a betweenness relation as a family of order relations



Cites Work

  • On a characterization of lattices by the betweenness relation --- on a problem of M. Kolibiar
  • Charakterisierung der Verbände durch die Relation „Zwischen”︁
  • Modular Interval Spaces
  • A ternary operation in distributive lattices
  • Trees, Lattices, Order, and Betweenness
  • Medians and Betweenness




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