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A note on the existence of torsion-free modules with a prescribed type-set

Author: Lucie De Munter-Kuyl
Journal: Proc. Amer. Math. Soc. 80 (1980), 531-532
MSC: Primary 20K15
MathSciNet review: 581020
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Abstract: In [2], Ito has proved the existence of a completely anisotropic torsion-free abelian group of rank two with a prescribed type-set. We outline here an alternative construction in a more general setting.

References [Enhancements On Off] (What's this?)

  • [1] L. De Munter-Kuyl, Isomorphisms of rank two torsion-free modules over a Dedekind domain, Atti Accad. Naz. Lincei Rome (3) 60 (1976), 351-358. MR 0469911 (57:9691)
  • [2] Ryuichi Ito, On type-sets of torsion-free abelian groups of rank 2, Proc. Amer. Math. Soc. 48 (1975), 39-42. MR 0354900 (50:7377)

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Keywords: Torsion-free modules, rank two, type-set, completely anisotropic
Article copyright: © Copyright 1980 American Mathematical Society

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