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Original Articles

Lie derivations on triangular matrices

Pages 619-626 | Received 01 Feb 2007, Accepted 23 Mar 2007, Published online: 09 Oct 2007
 

Abstract

Let be the algebra of all n × n upper triangular matrices over a commutative unital ring , and let be a 2-torsion free unital -bimodule. We show that every Lie derivation is a sum of a derivation and a linear map having its range in the center of . We also consider the question of innerness of derivations from into .

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