On a sufficient condition for strong constructivizability of atomic Boolean algebras.
Dzgoev, V.D. (2000)
Vladikavkazskiĭ Matematicheskiĭ Zhurnal
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Displaying similar documents to “Recursive prime models for Boolean algebras”
On a sufficient condition for strong constructivizability of atomic Boolean algebras.
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Robert Lagrange (1974)
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Žarko Mijajlović (1979)
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Brian Wynne (2008)
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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.
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Janusz Czelakowski (1978)
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The number of countable isomorphism types of complete extensions of the theory of Boolean algebras
Paul Iverson (1991)
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There is a conjecture of Vaught [17] which states: Without The Generalized Continuum Hypothesis one can prove the existence of a complete theory with exactly nonisomorphic, denumerable models. In this paper we show that there is no such theory in the class of complete extensions of the theory of Boolean algebras. More precisely, any complete extension of the theory of Boolean algebras has either 1 or nonisomorphic, countable models. Thus we answer this conjecture in the negative...
Partial Boolean algebras in a broader sense and Boolean embeddings
Janusz Czelakowski (1981)
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W. Luxemburg (1964)
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Karel Prikry (1971)
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С.Ю. Подзоров (2001)
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Boolean operations over measure algebras
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On Marczewski-Burstin representable algebras
Marek Balcerzak, Artur Bartoszewicz, Piotr Koszmider (2004)
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We construct algebras of sets which are not MB-representable. The existence of such algebras was previously known under additional set-theoretic assumptions. On the other hand, we prove that every Boolean algebra is isomorphic to an MB-representable algebra of sets.