Isomorphic but not lower base-isomorphic cylindric algebras of finite dimension (Q1262310)

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scientific article; zbMATH DE number 4123728
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Isomorphic but not lower base-isomorphic cylindric algebras of finite dimension
scientific article; zbMATH DE number 4123728

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    Isomorphic but not lower base-isomorphic cylindric algebras of finite dimension (English)
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    1989
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    The author shows that a certain theorem of Serény is best possible; Serény's theorem is an algebraic version of Vaught's theorem on the existence of prime models of atomic theories in countable languages. A corollary of the constructions here is that Vaught's theorem does not extend to languages with finitely many (but at least 2) variables.
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    cylindric algebra
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    base isomorphism
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    algebraic version of Vaught's theorem on the existence of prime models
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