Hostname: page-component-586b7cd67f-dlnhk Total loading time: 0 Render date: 2024-11-20T13:40:37.201Z Has data issue: false hasContentIssue false
  • English
  • Français

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 ([email protected])
Peter Šemrl
Affiliation:
Department of Mathematics, University of Ljubljana, Jadranska 19, SI-1000 Ljubljana, Slovenia ([email protected])
Rights & Permissions [Opens in a new window]

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

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