Garcia, O. & Nelson, E.
(1985):
On the nonexistence of free complete distributive lattices.
In: Order,
Ausgabe/Number: 4,
Vol. 1,
Erscheinungsjahr/Year: 1985.
Seiten/Pages: 399-403.
[Volltext] [Kurzfassung] [BibTeX]
[Endnote]
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.}
}
%0 = article
%A = Garcia, Octavio and Nelson, Evelyn
%D = 1985
%T = On the nonexistence of free complete distributive lattices
%U = http://dx.doi.org/10.1007/BF00582745
Hales, A. W.
(1964):
On the non-existence of free complete Boolean algebras.
In: Fundamentae Mathematica,
Vol. 54,
Erscheinungsjahr/Year: 1964.
Seiten/Pages: 45-66.
[Volltext] [BibTeX]
[Endnote]
@article{hales1964nonexistence,
author = {Hales, A. W.},
title = {On the non-existence of free complete Boolean algebras},
journal = {Fundamentae Mathematica},
year = {1964},
volume = {54},
pages = {45-66},
url = {http://matwbn.icm.edu.pl/tresc.php?wyd=1&tom=54},
keywords = {algebras, boolean, complete, existence, fca, free, lattice}
}
%0 = article
%A = Hales, A. W.
%D = 1964
%T = On the non-existence of free complete Boolean algebras
%U = http://matwbn.icm.edu.pl/tresc.php?wyd=1&tom=54