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Proceedings of the American Mathematical Society

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On free subsemigroups of skew fields


Author: L. Makar-Limanov
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
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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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DOI: https://doi.org/10.1090/S0002-9939-1984-0740167-X
Article copyright: © Copyright 1984 American Mathematical Society