Recursion theory and ordered groups (Q1093630)
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scientific article; zbMATH DE number 4023255
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Recursion theory and ordered groups |
scientific article; zbMATH DE number 4023255 |
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Recursion theory and ordered groups (English)
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1986
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This paper studies the effective content of the theory of ordered groups; and in particular the interplay between abstract and classical orderings. For example, it is shown that there are recursive abelian groups isomorphic to \(\oplus_{\omega}Z\) (and so classically orderable) whose only recursively orderable subgroups are finitely generated. Extensions of orders in ordered groups are analysed.
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effective content of the theory of ordered groups
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recursive abelian groups
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0.8836843
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