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Andrzej Rosłanowski, Saharon Shelah (2001)
Colloquium Mathematicae
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We show that, consistently, for some regular cardinals θ <λ, there exists a Boolean algebra 𝔹 such that |𝔹| = λ⁺ and for every subalgebra 𝔹'⊆ 𝔹 of size λ⁺ we have Depth(𝔹') = θ.
Roman Sikorski (1961)
Colloquium Mathematicum
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Bohuslav Balcar, Petr Štěpánek (1977)
Fundamenta Mathematicae
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H. Mildenberg (1993)
Fundamenta Mathematicae
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Using ♢ , we construct a rigid atomless Boolean algebra that has no uncountable antichain and that admits the elimination of the Malitz quantifier .
Slobodan Vujošević (1989)
Publications de l'Institut Mathématique
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Aleksander Błaszczyk, Andrzej Kucharski, Sławomir Turek (2014)
Open Mathematics
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The aim of this paper is to show that every infinite Boolean algebra which admits a countable minimally acting group contains a dense projective subalgebra.
Stanislav Krajči, Peter Vojtáš (1995)
Acta Universitatis Carolinae. Mathematica et Physica
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Roman Sikorski (1959)
Fundamenta Mathematicae
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Martin Gavalec (1981)
Colloquium Mathematicae
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W. Luxemburg (1964)
Fundamenta Mathematicae
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