On Herstein's Lie Map Conjectures, III

In the two papers, “On Herstein's Lie Map Conjectures, I and II,” solutions of all of Herstein's problems concerning Lie isomorphisms and derivations were given under the assumption that the algebras involved were of “sufficiently high” dimension. In the present paper we remove this restri...

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Veröffentlicht in:Journal of algebra 2002-03, Vol.249 (1), p.59-94
Hauptverfasser: Beidar, K.I., Brešar, M., Chebotar, M.A., Martindale, W.S.
Format: Artikel
Sprache:eng
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Zusammenfassung:In the two papers, “On Herstein's Lie Map Conjectures, I and II,” solutions of all of Herstein's problems concerning Lie isomorphisms and derivations were given under the assumption that the algebras involved were of “sufficiently high” dimension. In the present paper we remove this restriction, thereby solving Herstein's problems in full generality.
ISSN:0021-8693
1090-266X
DOI:10.1006/jabr.2001.9076