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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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Undecidability of $\mathbb {Q}^{(2)}$
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by Carlos Martínez-Ranero, Javier Utreras and Carlos R. Videla PDF
Proc. Amer. Math. Soc. 148 (2020), 961-964 Request permission

Abstract:

It is shown that the compositum $\mathbb {Q}^{(2)}$ of all degree 2 extensions of $\mathbb {Q}$ has undecidable theory.
References
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Additional Information
  • Carlos Martínez-Ranero
  • Affiliation: Facultad de Ciencias Físicas y Matemáticas, Departamento de Matemática, Universidad de Concepción, Concepción, Chile
  • Email: cmartinezr@udec.cl
  • Javier Utreras
  • Affiliation: Facultad de Ciencias Físicas y Matemáticas, Departamento de Matemática, Universidad de Concepción, Concepción, Chile
  • Email: javierutreras@udec.cl
  • Carlos R. Videla
  • Affiliation: Department of Mathematics and Computing, Mount Royal University, Calgary,, Canada
  • MR Author ID: 178355
  • Email: cvidela@mtroyal.ca
  • Received by editor(s): August 30, 2018
  • Received by editor(s) in revised form: May 17, 2019, and July 1, 2019
  • Published electronically: December 6, 2019
  • Additional Notes: The first-named author was supported by Proyecto VRID-Enlace No. 218.015.022-1.0
    The second-named author was supported by FONDECYT-Postdoctorado No. 3160301
    Part of this work was done while the third author was visiting X. Vidaux in Concepción during May 2018 under Conicyt Project: Fondecyt 1170315
  • Communicated by: Heike Mildenberger
  • © Copyright 2019 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 148 (2020), 961-964
  • MSC (2010): Primary 11U05; Secondary 03B25, 11R11
  • DOI: https://doi.org/10.1090/proc/14849
  • MathSciNet review: 4055926