Graded Witt kernels of the compositum of multiquadratic extensions with the function fields of Pfister forms
type: Item
instance of: scholarly article
title: Graded Witt kernels of the compositum of multiquadratic extensions with the function fields of Pfister forms
zbMATH Open document ID: 1332.11043
author: Roberto Aravire
author: Ahmed Laghribi
author: Manuel O'Ryan
published in: Journal of Algebra
publication date: 2016-01-25T00:00:00Z
review text: It is known from a famous paper by \textit{K. Kato} [Lect. Notes Math. 967, 215--238 (1982; Zbl 0506.12022)] that differential forms play an important role in the theory of quadratic forms over fields of characteristic 2. They are heavily used in the present paper. But the authors also mention the recent paper of \textit{D. W. Hoffmann} (which appeared in [Proc. Am. Math. Soc. 143, No. 12, 5073--5082 (2015; Zbl 1414.11050)]), where part of their results are obtained without using differential forms.
reviewed by: Albrecht Pfister
Mathematics Subject Classification ID: 11E04
Mathematics Subject Classification ID: 11E81
zbMATH DE Number: 6535199
zbMATH Keywords: quadratic (bilinear) forms
zbMATH Keywords: differential forms
zbMATH Keywords: graded-Witt kernels
zbMATH Keywords: function field of a quadric
zbMATH Keywords: Pfister forms
zbMATH Keywords: Pfister neighbors
MaRDI profile type: Publication
full work available at URL: j.jalgebra.2015.11.022
OpenAlex ID: W2205438264
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DOI: 10.1016/J.JALGEBRA.2015.11.022
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description: scientific article; zbMATH DE number 6535199