On L∞κ-free Boolean algebras

Annals of Pure and Applied Logic 55 (3):265-284 (1992)
  Copy   BIBTEX

Abstract

We study L∞κ-freeness in the variety of Boolean algebras. It is shown that some of the theorems on L∞κ-free algebras which are known to hold in varieties such as groups, abelian groups etc. are also true for Boolean algebras. But we also investigate properties such as the ccc of L∞κ-free Boolean algebras which have no counterpart in the varieties above

Links

PhilArchive



    Upload a copy of this work     Papers currently archived: 94,678

External links

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

Through your library

Similar books and articles

The number of openly generated Boolean algebras.Stefan Geschke & Saharon Shelah - 2008 - Journal of Symbolic Logic 73 (1):151-164.
Some remarks on openly generated Boolean algebras.Sakaé Fuchino - 1994 - Journal of Symbolic Logic 59 (1):302-310.
On< i> L_< sub>∞ κ-free Boolean algebras.Sakaé Fuchino, Sabine Koppelberg & Makoto Takahashi - 1992 - Annals of Pure and Applied Logic 55 (3):265-284.
A Note on Boolean Algebras with Few Partitions Modulo some Filter.Markus Huberich - 1996 - Mathematical Logic Quarterly 42 (1):172-174.
Unsupported Boolean algebras and forcing.Miloš S. Kurilić - 2004 - Mathematical Logic Quarterly 50 (6):594-602.
Semi-Cohen Boolean algebras.Bohuslav Balcar, Thomas Jech & Jindřich Zapletal - 1997 - Annals of Pure and Applied Logic 87 (3):187-208.
Boolean algebras in ast.Klaus Schumacher - 1992 - Mathematical Logic Quarterly 38 (1):373-382.

Analytics

Added to PP
2014-01-16

Downloads
33 (#483,171)

6 months
7 (#623,045)

Historical graph of downloads
How can I increase my downloads?

Author's Profile

Makoto Takahashi
Nagoya University

Citations of this work

On potential embedding and versions of Martin's axiom.Sakaé Fuchino - 1992 - Notre Dame Journal of Formal Logic 33 (4):481-492.
Some remarks on openly generated Boolean algebras.Sakaé Fuchino - 1994 - Journal of Symbolic Logic 59 (1):302-310.
The Trend of Logic and Foundation of Mathematics in Japan in 1991 to 1996.Yuzuru Kakuda, Kanji Namba & Nobuyoshi Motohashi - 1997 - Annals of the Japan Association for Philosophy of Science 9 (2):95-110.
The Trend of Logic and Foundation of Mathematics in Japan in 1991 to 1996.Yuzuru Kakuda - 1997 - Annals of the Japan Association for Philosophy of Science 9 (2):95-110.

Add more citations

References found in this work

Forcing closed unbounded sets.Uri Abraham & Saharon Shelah - 1983 - Journal of Symbolic Logic 48 (3):643-657.
Categoricity results for L∞κ.Paul C. Eklof & Alan H. Mekler - 1988 - Annals of Pure and Applied Logic 37 (1):81-99.
Categoricity results for "L"[infinity]kappa>-free algebras.P. C. Eklof - 1988 - Annals of Pure and Applied Logic 37 (1):81.

Add more references