Indecomposable quadratic spaces over the affine plane
type: Item
instance of: scholarly article
title: Indecomposable quadratic spaces over the affine plane
zbMATH Open document ID: 0604.10008
DOI: 10.1016/0001-8708(86)90085-X
published in: Advances in Mathematics
publication date: 1986-01-01T00:00:00Z
review text: Let \(K\) be a field of characteristic \(\neq 2\) having an anisotropic quadratic space \(q\) of rank \(\geq 3\). The author proves that there exist infinitely many inequivalent indecomposable quadratic spaces over the polynomial ring \(K[X,Y]\) whose reductions modulo \((X,Y)\) are isometric to \(q\).
reviewed by: Daniel B. Shapiro
Mathematics Subject Classification ID: 11E04
Mathematics Subject Classification ID: 11E88
Mathematics Subject Classification ID: 13F20
zbMATH DE Number: 3975015
zbMATH Keywords: anisotropic quadratic space of rank \(\geq 3\)
zbMATH Keywords: indecomposable quadratic spaces
zbMATH Keywords: polynomial ring
author: R. Parimala
MaRDI profile type: Publication
cites work: Locally polynomial algebras are symmetric algebras
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full work available at URL: 0001-8708(86)90085-x
OpenAlex ID: W1998403293
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description: scientific article; zbMATH DE number 3975015