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

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Noetherian rings with free additive groups
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by John D. O’Neill
Proc. Amer. Math. Soc. 92 (1984), 323-324
DOI: https://doi.org/10.1090/S0002-9939-1984-0759643-9
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Abstract:

There exists a Noetherian ring of arbitrarily large cardinality with free additive group. This answers a problem of L. Fuchs.
References
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Bibliographic Information
  • © Copyright 1984 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 92 (1984), 323-324
  • MSC: Primary 20K20; Secondary 13E05
  • DOI: https://doi.org/10.1090/S0002-9939-1984-0759643-9
  • MathSciNet review: 759643