, Volume 1, Issue 4, pp 399–403 | Cite as

On the nonexistence of free complete distributive lattices

  • Octavio Garcia
  • Evelyn Nelson


We prove that there is no free object over a countable set in the category of complete distributive lattices with homomorphisms preserving binary meets and arbitrary joins.

AMS (MOS) subject classifications (1980)

06A23 06D05 08B20 

Key words

Complete distributive lattices free objects 


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Copyright information

© D. Reidel Publishing Company 1985

Authors and Affiliations

  • Octavio Garcia
    • 1
  • Evelyn Nelson
    • 2
  1. 1.Instituto de MatematicasUNAMMexico
  2. 2.Department of Mathematical SciencesMcMaster UniversityHamiltonCanada

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