The computable dimension of ordered abelian groups

نویسندگان

  • Sergey S. Goncharov
  • Steffen Lempp
  • Reed Solomon
چکیده

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.

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تاریخ انتشار 2003