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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 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Countable abelian groups with a discrete norm are free
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by John Lawrence PDF
Proc. Amer. Math. Soc. 90 (1984), 352-354 Request permission

Abstract:

It is proved that a countable Abelian group with a norm which induces the discrete topology is free.
References
  • László Fuchs, Infinite abelian groups. Vol. I, Pure and Applied Mathematics, Vol. 36, Academic Press, New York-London, 1970. MR 0255673
    • G. Hardy and E. Wright, An introduction to the theory of numbers, Oxford Univ. Press, 1959.
  • B. H. Neumann and Hanna Neumann, On a class of abelian groups, Arch. Math. (Basel) 4 (1953), 79–85. MR 55995, DOI 10.1007/BF01899666
    • W. Ralph, Variants of the singular complex and their connections with Banach algebras, Čech cohomology and co-products, Doctoral Thesis, Univ. of Waterloo, 1982.
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Additional Information
  • © Copyright 1984 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 90 (1984), 352-354
  • MSC: Primary 20K20; Secondary 20K45
  • DOI: https://doi.org/10.1090/S0002-9939-1984-0728346-9
  • MathSciNet review: 728346