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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
DOI: https://doi.org/10.1090/S0002-9939-1980-0581020-0
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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Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1980-0581020-0
Keywords: Torsion-free modules, rank two, type-set, completely anisotropic
Article copyright: © Copyright 1980 American Mathematical Society

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