The metabolicity index of involutions in characteristic two
type: Item
instance of: scholarly article
title: The metabolicity index of involutions in characteristic two
zbMATH Open document ID: 1478.16032
published in: Journal of Pure and Applied Algebra
publication date: 2021-06-09T00:00:00Z
review text: In the paper under review, the author studies metabolic and hyperbolic symmetric bilinear forms over fields of characteristic two. It is well known that over any fields of characteristic different from two every metabolic form is hyperbolic. However, in characteristic two, the notion of metabolic is a weaker condition than hyperbolic. The author introduces the notion of metabolicity index of an algebra with involution of the first kind in characteristic two and studies the behavior of this index over some field extensions.
Mathematics Subject Classification ID: 16W10
Mathematics Subject Classification ID: 11E39
zbMATH DE Number: 7357185
zbMATH Keywords: algebras with involution
zbMATH Keywords: Hermitian forms
zbMATH Keywords: metabolic involutions
zbMATH Keywords: characteristic two
author: A.-H. Nokhodkar
MaRDI profile type: Publication
full work available at URL: j.jpaa.2021.106716
OpenAlex ID: W3131324359
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DOI: 10.1016/J.JPAA.2021.106716
description: scientific article; zbMATH DE number 7357185