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 free subsemigroups of skew fields
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by L. Makar-Limanov
Proc. Amer. Math. Soc. 91 (1984), 189-191
DOI: https://doi.org/10.1090/S0002-9939-1984-0740167-X

Abstract:

I will prove in this note that the multiplicative group of a skew field with uncountable center either contains a free nonabelian subsemigroup or is commutative.
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Bibliographic Information
  • © Copyright 1984 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 91 (1984), 189-191
  • MSC: Primary 16A39; Secondary 16A25, 16A70, 20M05
  • DOI: https://doi.org/10.1090/S0002-9939-1984-0740167-X
  • MathSciNet review: 740167