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Transactions of the American Mathematical Society

Published by the American Mathematical Society since 1900, Transactions of the American Mathematical Society is devoted to longer research articles in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2020 MCQ for Transactions of the American Mathematical Society is 1.48.

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Semialgebraic expansions of $\textbf {C}$
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by David Marker PDF
Trans. Amer. Math. Soc. 320 (1990), 581-592 Request permission

Abstract:

We prove no nontrivial expansion of the field of complex numbers can be obtained from a reduct of the field of real numbers.
References
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Additional Information
  • © Copyright 1990 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 320 (1990), 581-592
  • MSC: Primary 03C60; Secondary 03C45, 14G99
  • DOI: https://doi.org/10.1090/S0002-9947-1990-0964900-4
  • MathSciNet review: 964900