Free Completely Distributive Lattices
Abstract
We show that the usual construction of the free distributive lattice on n generators generalizes to an arbitrary quantity of generators and actually yields a free completely distributive lattice. Furthermore, for an infinite number of generators the cardinality of the corresponding free completely distributive lattice is exactly that of the power set of the power set of the set of generators.
Recommended Citation
G. Markowsky, "Free Completely Distributive Lattices," Proceedings of the American Mathematical Society, vol. 74, no. 2, pp. 227 - 228, American Mathematical Society, May 1979.
The definitive version is available at https://doi.org/10.1090/S0002-9939-1979-0524290-9
Department(s)
Computer Science
Keywords and Phrases
Free completely distributive lattice; Free distributive lattice
International Standard Serial Number (ISSN)
0002-9939
Document Type
Article - Journal
Document Version
Citation
File Type
text
Language(s)
English
Rights
© 1979 American Mathematical Society, All rights reserved.
Publication Date
01 May 1979
