On Jordan ideals and matrix rings
type: Item
instance of: scholarly article
title: On Jordan ideals and matrix rings
zbMATH Open document ID: 1177.15020
author: Jennifer L. Roche
published in: Linear Algebra and its Applications
publication date: 2009-09-14T00:00:00Z
review text: Results of \textit{D. L. Costa} and \textit{G. E. Keller} [J. Reine Angew. Math. 427, 51--105 (1992; Zbl 0739.20023)] about subgroups of the symplectic group \(Sp_4A\) normalized by \(Ep_4A\) where \(A\) is a commutative ring with 1, are generalized by replacing the matrix algebra \(M_2A\) by an associative \(A\)-algebra with involution.
Mathematics Subject Classification ID: 15A30
Mathematics Subject Classification ID: 16W10
zbMATH DE Number: 5603583
zbMATH Keywords: matrix rings
zbMATH Keywords: Jordan ideals
zbMATH Keywords: nonassociative algebras
zbMATH Keywords: normal subgroups
zbMATH Keywords: symplectic group
zbMATH Keywords: matrix algebra
reviewed by: L. N. Vaserstein
MaRDI profile type: Publication
full work available at URL: j.laa.2009.05.038
OpenAlex ID: W2041610392
cites work: Q3988352
cites work: The \(E(2,A)\) sections of \(SL(2,A)\)
DOI: 10.1016/J.LAA.2009.05.038
description: scientific article; zbMATH DE number 5603583