Constructive Abelian \(p\)-groups (Q1914760)
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scientific article; zbMATH DE number 894005
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Constructive Abelian \(p\)-groups |
scientific article; zbMATH DE number 894005 |
Statements
Constructive Abelian \(p\)-groups (English)
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28 August 1996
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The author finds a necessary and sufficient condition for a countable abelian \(p\)-group which is not the direct sum of cyclic and quasi-cyclic groups to be (strongly) constructivizable. This gives also a condition for an abelian \(p\)-group whose reduced part has finite Ulm type to be (strongly) constructivizable. Every finite direct power of such a group \(G\) is (strongly) constructivizable iff \(G\) is (strongly) constructivizable.
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constructive model
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constructivizability
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countable abelian \(p\)-group
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direct sum of cyclic and quasi-cyclic groups
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finite Ulm type
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finite direct power
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