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Isomorphism types of expanded superatomic Ershov algebras - MaRDI portal

Isomorphism types of expanded superatomic Ershov algebras (Q2713997)

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scientific article; zbMATH DE number 1603256
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English
Isomorphism types of expanded superatomic Ershov algebras
scientific article; zbMATH DE number 1603256

    Statements

    10 June 2001
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    \(I\)-algebra
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    Ershov algebra
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    Boolean algebra
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    Isomorphism types of expanded superatomic Ershov algebras (English)
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    The main result is the classification of isomorphism types of countable superatomic Boolean algebras whose rank does not exceed \(\omega\). A wide class of complete theories of Boolean algebras with distinguished ideals is proven to have \(2^\omega\) models of fixed countable ordinal type.
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