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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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Amalgamation and elimination of quantifiers for theories of fields
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by William H. Wheeler PDF
Proc. Amer. Math. Soc. 77 (1979), 243-250 Request permission

Abstract:

The universal theories of integral domains and of ordered integral domains which have the amalgamation property are characterized via their existentially complete models. The results of A. Macintyre, K. McKenna, and L. van den Dries on fields and ordered fields whose complete theories permit elimination of quantifiers are then derived as easy corollaries.
References
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Additional Information
  • © Copyright 1979 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 77 (1979), 243-250
  • MSC: Primary 03C60; Secondary 12L99
  • DOI: https://doi.org/10.1090/S0002-9939-1979-0542092-4
  • MathSciNet review: 542092