A superatomic Boolean algebra with few automorphisms

&
Archive for Mathematical Logic 40 (2):125-129 (2001)
  Copy   BIBTEX

Abstract

Assuming GCH, we prove that for every successor cardinal μ > ω1, there is a superatomic Boolean algebra B such that |B| = 2μ and |Aut B| = μ. Under ◊ω1, the same holds for μ = ω1. This answers Monk's Question 80 in [Mo]

Categories

Keywords

Reprint years

DOI

10.1007/s001530000053

Links

PhilArchive



    Upload a copy of this work     Papers currently archived: 91,386

External links

Setup an account with your affiliations in order to access resources via your University's proxy server

Through your library

My notes

Similar books and articles

Some Open Questions for Superatomic Boolean Algebras.Juan Carlos Martínez - 2005 - Notre Dame Journal of Formal Logic 46 (3):353-356.
On essentially low, canonically well-generated Boolean algebras.Robert Bonnet & Matatyahu Rubin - 2002 - Journal of Symbolic Logic 67 (1):369-396.
Superatomic Boolean algebras constructed from strongly unbounded functions.Juan Carlos Martínez & Lajos Soukup - 2011 - Mathematical Logic Quarterly 57 (5):456-469.
Minimum‐sized Infinite Partitions of Boolean Algebras.J. Donald Monk - 1996 - Mathematical Logic Quarterly 42 (1):537-550.
On uncountable cardinal sequences for superatomic Boolean algebras.Juan Carlos Martínez - 1995 - Archive for Mathematical Logic 34 (4):257-261.
Review: Judy Roitma, Height and Width of Superatomic Boolean Algebras; James E. Baumgartner, Saharon Shelah, Remarks on Superatomic Boolean Algebras. [REVIEW]Martin Weese - 1989 - Journal of Symbolic Logic 54 (3):1108-1109.
Boolean deductive systems of BL-algebras.Esko Turunen - 2001 - Archive for Mathematical Logic 40 (6):467-473.
Hyper-Archimedean BL-algebras are MV-algebras.Esko Turunen - 2007 - Mathematical Logic Quarterly 53 (2):170-175.
Superatomic Boolean algebras constructed from morasses.Peter Koepke & Juan Carlos Martínez - 1995 - Journal of Symbolic Logic 60 (3):940-951.
On the Homogeneous Countable Boolean Contact Algebra.Ivo Düntsch & Sanjiang Li - 2013 - Logic and Logical Philosophy 22 (2):213-251.
Boolean products of R0-algebras.Xiangnan Zhou & Qingguo Li - 2010 - Mathematical Logic Quarterly 56 (3):289-298.
Combinatorial and recursive aspects of the automorphism group of the countable atomless Boolean algebra.E. W. Madison & B. Zimmermann-Huisgen - 1986 - Journal of Symbolic Logic 51 (2):292-301.
On the weak Freese–Nation property of ?(ω).Sakaé Fuchino, Stefan Geschke & Lajos Soukupe - 2001 - Archive for Mathematical Logic 40 (6):425-435.
Residuated lattices arising from equivalence relations on Boolean and Brouwerian algebras.Thomas Vetterlein - 2008 - Mathematical Logic Quarterly 54 (4):350-367.
A model in which every Boolean algebra has many subalgebras.James Cummings & Saharon Shelah - 1995 - Journal of Symbolic Logic 60 (3):992-1004.

Analytics

Added to PP
2013-11-23

Downloads
10 (#1,165,120)

6 months
2 (#1,232,442)

Historical graph of downloads
How can I increase my downloads?

Citations of this work

No citations found.

Add more citations

References found in this work

No references found.

Add more references