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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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Results on Witt kernels of quadratic forms for multi-quadratic extensions
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by Roberto Aravire and Ahmed Laghribi PDF
Proc. Amer. Math. Soc. 141 (2013), 4191-4197 Request permission

Abstract:

In this paper we compute the Witt kernel of quadratic forms for the composition of a purely inseparable multi-quadratic extension with a separable quadratic extension. We also include the case of a multi-quadratic purely inseparable extension by completing the proof given before by the second author for such an extension.
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Additional Information
  • Roberto Aravire
  • Affiliation: Universidad Arturo Prat, Casilla 121, Iquique, Chile
  • Email: raravire@unap.cl
  • Ahmed Laghribi
  • Affiliation: Université d’Artois, Faculté des Sciences Jean Perrin, Laboratoire de mathématiques de Lens - EA2462, rue Jean Souvraz - SP18, F-62307 Lens, France
  • Email: laghribi@euler.univ-artois.fr
  • Received by editor(s): April 2, 2011
  • Received by editor(s) in revised form: February 13, 2012
  • Published electronically: August 22, 2013
  • Additional Notes: The first author was supported by Fondecyt $\#$1090006 and Proyecto Anillos PBCT ACT056
  • Communicated by: Matthew A. Papanikolas
  • © Copyright 2013 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 141 (2013), 4191-4197
  • MSC (2010): Primary 11E04, 11E81
  • DOI: https://doi.org/10.1090/S0002-9939-2013-11730-2
  • MathSciNet review: 3105862