A note on the existence of torsion-free modules with a prescribed type-set
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- by Lucie De Munter-Kuyl
- Proc. Amer. Math. Soc. 80 (1980), 531-532
- DOI: https://doi.org/10.1090/S0002-9939-1980-0581020-0
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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
- Lucie De Munter-Kuyl, Isomorphisms of rank two torsion-free modules over a Dedekind domain, Atti Accad. Naz. Lincei Rend. Cl. Sci. Fis. Mat. Nat. (8) 60 (1976), no. 4, 351–358 (English, with Italian summary). MR 469911
- Ryuichi Ito, On type sets of torsion-free abelian groups of rank $2$, Proc. Amer. Math. Soc. 48 (1975), 39–42. MR 354900, DOI 10.1090/S0002-9939-1975-0354900-7
Bibliographic Information
- © Copyright 1980 American Mathematical Society
- 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