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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.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.

 

The undecidability of algebraic rings and fields
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by Julia Robinson PDF
Proc. Amer. Math. Soc. 10 (1959), 950-957 Request permission
References
    Emil Artin, Lectures on modern higher algebra, Part III, mimeographed notes, New York University, 1948.
  • Ph. Furtwängler, Die Reziprozitätsgesetze für Potenzreste mit Primzahlexponenten in algebraischen Zahlkörpern, Math. Ann. 74 (1913), no. 3, 413–429 (German). MR 1511772, DOI 10.1007/BF01456752
  • Helmut Hasse, Kurt Hensels entscheidender Anstoss zur Entdeckung des Lokal-Global-Prinzips, J. Reine Angew. Math. 209 (1962), 3–4 (German). MR 139510, DOI 10.1515/crll.1962.209.3
    • —, Darstellbarkeit von Zahlen durch quadratische Formen in einem beliebigen algebraischen Zahlkörper, J. Reine Angew. Math. vol. 153 (1923) pp. 113-130. —, Bericht über neuere Untersuchungen und Probleme aus der Theorie der algebraischen Zahlkörper, Teil I, Jahresbericht der Deutschen Mathematiker-Vereinigung vol. 35 (1926) pp. 1-55.
  • Julia Robinson, Definability and decision problems in arithmetic, J. Symbolic Logic 14 (1949), 98–114. MR 31446, DOI 10.2307/2266510
  • Raphael M. Robinson, Undecidable rings, Trans. Amer. Math. Soc. 70 (1951), 137–159. MR 41081, DOI 10.1090/S0002-9947-1951-0041081-0
  • Raphael M. Robinson, Arithmetical definability of field elements, J. Symbolic Logic 16 (1951), 125–126. MR 42357, DOI 10.2307/2266685
  • Alfred Tarski, Undecidable theories, Studies in Logic and the Foundations of Mathematics, North-Holland Publishing Co., Amsterdam, 1953. In collaboration with Andrzej Mostowski and Raphael M. Robinson. MR 0058532
    • Ernst Witt, Theorie der quadratischen Formen in beliebigen Körpern, J. Reine Angew. Math. vol. 176 (1936) pp. 31-44.
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Additional Information
  • © Copyright 1959 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 10 (1959), 950-957
  • MSC: Primary 02.00
  • DOI: https://doi.org/10.1090/S0002-9939-1959-0112842-7
  • MathSciNet review: 0112842