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 

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. [1]
    G. Bergman, Ph.D. thesisGoogle Scholar
  2. [2]
    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

Personalised recommendations