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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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Jacobson’s theorem for bilinear forms in characteristic 2
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by Ahmed Laghribi PDF
Proc. Amer. Math. Soc. 137 (2009), 2905-2912 Request permission

Abstract:

The aim of this paper is to extend to bilinear forms in characteristic $2$ a result of Jacobson which states that over any field, two Albert quadratic forms are similar if and only if they have the same Clifford invariant.
References
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Additional Information
  • Ahmed Laghribi
  • Affiliation: Laboratoire de Mathématiques de Lens EA 2462, Faculté des Sciences Jean Perrin, rue Jean Souvraz - SP18, F-62307 Lens, France
  • Email: laghribi@euler.univ-artois.fr
  • Received by editor(s): June 27, 2007
  • Received by editor(s) in revised form: December 13, 2008
  • Published electronically: March 18, 2009
  • Communicated by: Bernd Ulrich
  • © Copyright 2009 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 137 (2009), 2905-2912
  • MSC (2000): Primary 11E04; Secondary 11E81
  • DOI: https://doi.org/10.1090/S0002-9939-09-09861-X
  • MathSciNet review: 2506448