Mathematical Logic Quarterly 42 (1):537-550 (1996)

For any Boolean Algebra A, let cmm be the smallest size of an infinite partition of unity in A. The relationship of this function to the 21 common functions described in Monk [4] is described, for the class of all Boolean algebras, and also for its most important subclasses. This description involves three main results: the existence of a rigid tree algebra in which cmm exceeds any preassigned number, a rigid interval algebra with that property, and the construction of an interval algebra in which every well-ordered chain has size less than cmm
Keywords Tree algebra  Partition of a Boolean Algebra  Mono‐rigid Boolean algebra  Rigid Boolean algebra  Interval algebra  Depth of a Boolean Algebra
Categories (categorize this paper)
DOI 10.1002/malq.19960420142
Edit this record
Mark as duplicate
Export citation
Find it on Scholar
Request removal from index
Revision history

Download options

PhilArchive copy

Upload a copy of this paper     Check publisher's policy     Papers currently archived: 63,393
External links

Setup an account with your affiliations in order to access resources via your University's proxy server
Configure custom proxy (use this if your affiliation does not provide a proxy)
Through your library

References found in this work BETA

Linear Orderings.Joseph G. Rosenstein - 1983 - Journal of Symbolic Logic 48 (4):1207-1209.
The Theory of Ultrafilters.W. W. Comfort & S. Negrepontis - 1976 - Journal of Symbolic Logic 41 (4):782-783.

Add more references

Citations of this work BETA

Special Subalgebras of Boolean Algebras.J. Donald Monk - 2010 - Mathematical Logic Quarterly 56 (2):148-158.

Add more citations

Similar books and articles

Hyper-Archimedean BL-Algebras Are MV-Algebras.Esko Turunen - 2007 - Mathematical Logic Quarterly 53 (2):170-175.
Boolean Deductive Systems of BL-Algebras.Esko Turunen - 2001 - Archive for Mathematical Logic 40 (6):467-473.
Chains and Antichains in Interval Algebras.M. Bekkali - 1994 - Journal of Symbolic Logic 59 (3):860-867.
Boolean Products of R0-Algebras.Xiangnan Zhou & Qingguo Li - 2010 - Mathematical Logic Quarterly 56 (3):289-298.
A Superatomic Boolean Algebra with Few Automorphisms.Matatyahu Rubin & Sabine Koppelberg - 2001 - Archive for Mathematical Logic 40 (2):125-129.
On the Homogeneous Countable Boolean Contact Algebra.Ivo Düntsch & Sanjiang Li - 2013 - Logic and Logical Philosophy 22 (2):213-251.
Some Remarks on Openly Generated Boolean Algebras.Sakaé Fuchino - 1994 - Journal of Symbolic Logic 59 (1):302-310.


Added to PP index

Total views
5 ( #1,171,644 of 2,448,950 )

Recent downloads (6 months)
3 ( #223,322 of 2,448,950 )

How can I increase my downloads?


My notes