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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 lifting formula for the Hilbert symbol
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by Edward A. Bender PDF
Proc. Amer. Math. Soc. 40 (1973), 63-65 Request permission

Abstract:

The Hilbert symbol in an extension field is expressed in terms of norms, traces and Hilbert symbols in the ground field.
References
  • Emil Artin, Algebraic numbers and algebraic functions, Gordon and Breach Science Publishers, New York-London-Paris, 1967. MR 0237460
    • O. T. O’Meara, Introduction to quadratic forms, Die Grundlehren der math. Wissenschaften, Band 117, Academic Press, New York; Springer-Verlag, Berlin, 1963. MR 27 #2485.
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Additional Information
  • © Copyright 1973 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 40 (1973), 63-65
  • MSC: Primary 10C05; Secondary 10C20
  • DOI: https://doi.org/10.1090/S0002-9939-1973-0318058-0
  • MathSciNet review: 0318058