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Results on Witt kernels of quadratic forms for multi-quadratic extensions

Authors: Roberto Aravire and Ahmed Laghribi
Journal: Proc. Amer. Math. Soc. 141 (2013), 4191-4197
MSC (2010): Primary 11E04, 11E81
Published electronically: August 22, 2013
MathSciNet review: 3105862
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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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Roberto Aravire
Affiliation: Universidad Arturo Prat, Casilla 121, Iquique, Chile

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

Keywords: Quadratic forms, Witt kernels, differential forms
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
Article copyright: © Copyright 2013 American Mathematical Society

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