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algebra universalis

, Volume 4, Issue 1, pp 49–57 | Cite as

Every finite distributive lattice is the congruence lattice of some modular lattice

  • E. T. Schmidt
Article

Keywords

Distributive Lattice Principal Ideal Congruence Relation Congruence Lattice Modular Lattice 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

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    G. Bergman, Ph.D. thesisGoogle Scholar
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    G. Grätzer,Lattice theory. First concepts and distributive lattices. (W. H. Freeman and Company San Francisco, 1971).MATHGoogle Scholar
  3. [3]
    M. Hall and R. P. Dilworth,The imbedding problem for modular lattices, Annals of Math.,45 (1944), 450–456.MATHMathSciNetCrossRefGoogle Scholar
  4. [4]
    A. Huhn,Schwach, distributive Verbände, Acta F.R.M. Univ. Comen. (1971), 51–56.Google Scholar
  5. [5]
    E. T. Schmidt,Zur Charakterisierung die Kongruenzverbände der Verbände, Mat. Casopis18 (1968), 3–20.MATHGoogle Scholar
  6. [6]
    E. T. Schmidt,Über die Kongruenzrelationen der modularen Verbände, Beiträge zur Algebra and Geometrie, Halle (to appear).Google Scholar

Copyright information

© Birkhäuser Verlag 1974

Authors and Affiliations

  • E. T. Schmidt
    • 1
  1. 1.Mathematical Institute of theHungarian Academy of SciencesBudapestHungary

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