On L∞κ-free Boolean algebras

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

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10.1016/0168-0072(92)90038-2

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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.

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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.

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