Arithmetic hierarchy and ideals of enumerated Boolean algebras (Q922530)
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scientific article; zbMATH DE number 4168665
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Arithmetic hierarchy and ideals of enumerated Boolean algebras |
scientific article; zbMATH DE number 4168665 |
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Arithmetic hierarchy and ideals of enumerated Boolean algebras (English)
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1989
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The paper is devoted to enumerable Boolean algebras of arithmetical complexity. It is proved that every \(\Pi_ 1\) Boolean algebra is recursive and every \(\Pi_{n+2}\) Boolean algebra is a \(\Sigma_{n+1}\) Boolean algebra. The complexity of quotient Boolean algebras with respect to some natural ideals is also studied.
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enumerable Boolean algebras
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arithmetical complexity
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quotient Boolean algebras
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ideals
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