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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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A linearly ordered ring whose theory admits elimination of quantifiers is a real closed field
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by L. P. D. van den Dries PDF
Proc. Amer. Math. Soc. 79 (1980), 97-100 Request permission

Abstract:

Linearly ordered rings and preordered fields whose first order theory admits quantifier elimination are shown to be real closed fields.
References
    A. Macintyre, K. McKenna and L. van den Dries, Quantifier elimination in algebraic structures, Advances in Math. (to appear).
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Additional Information
  • © Copyright 1980 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 79 (1980), 97-100
  • MSC: Primary 03C60; Secondary 03C10, 06F25, 12J10
  • DOI: https://doi.org/10.1090/S0002-9939-1980-0560592-6
  • MathSciNet review: 560592