Garcia, O. & Nelson, E.: On the nonexistence of free complete distributive lattices. In: Order 1 (1985), Nr. 4, S. 399-403
[Volltext]
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.
@article{octavio1985nonexistence,
author = {Garcia, Octavio and Nelson, Evelyn},
title = {On the nonexistence of free complete distributive lattices},
journal = {Order},
year = {1985},
volume = {1},
number = {4},
pages = {399--403},
url = {http://dx.doi.org/10.1007/BF00582745},
keywords = {distributive, fca, free, lattice, nonexistence, variety},
abstract = {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.}
}