Isomorphism types of expanded superatomic Ershov algebras (Q2713997)
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scientific article; zbMATH DE number 1603256
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Isomorphism types of expanded superatomic Ershov algebras |
scientific article; zbMATH DE number 1603256 |
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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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0.8720003
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0.8701469
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0.86734545
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0.8600451
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0.8557958
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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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