, Volume 7, Issue 1, pp 97–99 | Cite as

The order dimension of relatively free lattices

  • J. B. Nation
  • J. H. Schmerl


If V is a nontrivial lattice variety and λ is an infinite cardinal, then the order dimension of FV(λ) is the smallest cardinal κ such that λ≤2κ.

AMS subject classification (1980)


Key words

Order dimension free lattice 


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Copyright information

© Kluwer Academic Publishers 1990

Authors and Affiliations

  • J. B. Nation
    • 1
  • J. H. Schmerl
    • 2
  1. 1.Department of MathematicsUniversity of HawaiiHonoluluUSA
  2. 2.Department of MathematicsUniversity of ConnecticutStorrsUSA

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