Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2024 MCQ for Proceedings of the American Mathematical Society is 0.85.

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On type sets of torsion-free abelian groups of rank 2
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by Ryuichi Ito
Proc. Amer. Math. Soc. 48 (1975), 39-42
DOI: https://doi.org/10.1090/S0002-9939-1975-0354900-7
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Abstract:

We prove existence of a torsion-free abelian group with a prescribed type-set.
References
  • R. A. Beaumont and R. S. Pierce, Torsion free groups of rank two, Mem. Amer. Math. Soc. 38 (1961), 41. MR 130297
    • L. Fuchs, Infinite abelian groups. Vols. I, II, Pure and Appl. Math., vol. 36, Academic Press, New York, 1970, 1973. MR 41 #333.
  • John Koehler, Some torsion-free rank two groups, Acta Sci. Math. (Szeged) 25 (1964), 186–190. MR 169909
  • John E. Koehler, The type set of a torsion-free group of finite rank, Illinois J. Math. 9 (1965), 66–86. MR 171841
  • A. E. Ingham, The distribution of prime numbers, Cambridge Tracts in Mathematics and Mathematical Physics, No. 30, Stechert-Hafner, Inc., New York, 1964. MR 0184920
Bibliographic Information
  • © Copyright 1975 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 48 (1975), 39-42
  • DOI: https://doi.org/10.1090/S0002-9939-1975-0354900-7
  • MathSciNet review: 0354900