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The computable dimension of ordered abelian groups |
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| Authors: | Sergey S Goncharov |
| Institution: | a Institute of Mathematics, Siberian Branch, Russian Academy of Sciences, Russia b Department of Mathematics, University of Wisconsin-Madison, Madison, WI 53706, USA c Department of Mathematics, University of Connecticut, Storrs, CT 06269, USA |
| Abstract: | Let G be a computable ordered abelian group. We show that the computable dimension of G is either 1 or ω, that G is computably categorical if and only if it has finite rank, and that if G has only finitely many Archimedean classes, then G has a computable presentation which admits a computable basis. |
| Keywords: | 03D 06F |
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