0˝-Categorical Completely Decomposable Torsion-Free Abelian Groups

  • Authors:

  • Alexander G. Melnikov

  • Affiliations:

  • The University of Auckland, New Zealand

  • Venue:
  • CiE '09 Proceedings of the 5th Conference on Computability in Europe: Mathematical Theory and Computational Practice
  • Year:
  • 2009

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Abstract

We show that every homogeneous completely decomposable torsion-free abelian group is 0˝-categorical. We give a description of effective categoricity for some natural class of torsion-free abelian groups. In particular, we give examples of 0˝-categorical but not 0˝-categorical torsion-free abelian groups.