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ELEMENTARY OPERATORS AS LIE HOMOMORPHISMS OR COMMUTATIVITY PRESERVERS

Published online by Cambridge University Press:  15 February 2005

Matej Brešar  and
Peter Šemrl
Matej Brešar
Affiliation:
Department of Mathematics, University of Maribor, PEF, Koroška 160, SI-2000 Maribor, Slovenia (bresar@uni-mb.si)
Peter Šemrl
Affiliation:
Department of Mathematics, University of Ljubljana, Jadranska 19, SI-1000 Ljubljana, Slovenia (peter.semrl@fmf.uni-lj.si)
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Abstract

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We consider elementary operators on centrally closed prime algebras that are Lie (or Jordan) homomorphisms or commutativity preservers.

AMS 2000 Mathematics subject classification: Primary 16N60. Secondary 16R50; 47B47

Keywords

elementary operatorLie homomorphismJordan homomorphismcommutativity preservercentrally closed prime algebra
Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 48 , Issue 1 , February 2005 , pp. 37 - 49
Copyright
Copyright © Edinburgh Mathematical Society 2005