Lie derivations on triangular matrices
- 9 October 2007
- journal article
- research article
- Published by Taylor & Francis in Linear and Multilinear Algebra
- Vol. 55 (6) , 619-626
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 .Keywords
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