Central polynomials in the matrix algebra of order two.
type: Item
instance of: scholarly article
title: Central polynomials in the matrix algebra of order two.
zbMATH Open document ID: 1044.16016
author: Jones Colombo
author: Plamen Koshlukov
published in: Linear Algebra and its Applications
publication date: 2004-01-14T00:00:00Z
review text: The authors exhibit a minimal basis of the polynomial identities for \(M_2(K)\), the algebra of \(2\times 2\) matrices over an infinite field \(K\), whose characteristic \(p\) is positive and is different from \(2\). When \(p>3\), the standard identity of degree \(4\) and the Hall identity generate the T-ideal of \(M_2(K)\), just like in characteristic zero; when \(p=3\), one needs an additional identity. Furthermore, using this result, a minimal set of generators of the T-space of central polynomials for \(M_2(K)\) is given.
reviewed by: Matyas Domokos
Mathematics Subject Classification ID: 16R10
Mathematics Subject Classification ID: 16R20
Mathematics Subject Classification ID: 16S50
zbMATH DE Number: 2026887
zbMATH Keywords: central polynomials
zbMATH Keywords: T-spaces
zbMATH Keywords: bases of identities
MaRDI profile type: Publication
full work available at URL: j.laa.2003.07.011
OpenAlex ID: W2104686641
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DOI: 10.1016/J.LAA.2003.07.011
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description: scientific article; zbMATH DE number 2026887