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 .
H. Werner (1982)
Banach Center Publications
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L. Szczerba (1973)
Fundamenta Mathematicae
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Paul R. Halmos (1954-1956)
Compositio Mathematica
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Roman Sikorski (1961)
Colloquium Mathematicum
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Saharon Shelah (1996)
Fundamenta Mathematicae
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We deal with Boolean algebras and their cardinal functions: π-weight π and π-character πχ. We investigate the spectrum of π-weights of subalgebras of a Boolean algebra B. Next we show that the π-character of an ultraproduct of Boolean algebras may be different from the ultraproduct of the π-characters of the factors.
Nelson, Evelyn
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Bohuslav Balcar, Petr Štěpánek (1977)
Fundamenta Mathematicae
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Brian Wynne (2008)
Fundamenta Mathematicae
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Two Boolean algebras are elementarily equivalent if and only if they satisfy the same first-order statements in the language of Boolean algebras. We prove that every Boolean algebra is elementarily equivalent to the algebra of clopen subsets of a normal P-space.