On Herstein's Lie map conjectures. III
type: Item
instance of: scholarly article
title: On Herstein's Lie map conjectures. III
zbMATH Open document ID: 1019.16021
author: W. S. III Martindale
author: K. I. Beidar
author: Matej Brešar
author: M. A. Chebotar
published in: Journal of Algebra
publication date: 2002-09-08T00:00:00Z
review text: The paper under review is the third in a series by the same authors [Part I, Trans. Am. Math. Soc. 353, No. 10, 4235-4260 (2001; see the review Zbl 1019.16019 above), Part II, J. Algebra 238, No. 1, 239-264 (2001; see the preceding review Zbl 1019.16020)]. Here the authors resolve in general a problem posed by \textit{I. N. Herstein} [Bull. Am. Math. Soc. 67, 517-531 (1961; Zbl 0107.02704)]. Note that in the previous two papers they managed to resolve Herstein's problem by imposing some restrictions on the dimensions of the algebras under consideration; here they remove such restrictions. (Also submitted to MR).
reviewed by: Plamen Koshlukov
Mathematics Subject Classification ID: 16W10
Mathematics Subject Classification ID: 16R50
Mathematics Subject Classification ID: 17B60
Mathematics Subject Classification ID: 16W20
zbMATH DE Number: 1797449
zbMATH Keywords: Lie maps
zbMATH Keywords: prime algebras
zbMATH Keywords: Lie derivations
MaRDI profile type: Publication
full work available at URL: jabr.2001.9076
OpenAlex ID: W4212841220
Wikidata QID: Q115395677
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DOI: 10.1006/JABR.2001.9076
description: scientific article; zbMATH DE number 1797449