Published Online: Sep 13, 2017
Page range: 141 - 153
Received: Apr 24, 2016
Accepted: Sep 16, 2016
DOI: https://doi.org/10.1515/amsil-2016-0017
Keywords
© 2017
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.
In this paper we provide some conditions under which a Lie derivation on a trivial extension algebra is proper, that is, it can be expressed as a sum of a derivation and a center valued map vanishing at commutators. We then apply our results for triangular algebras. Some illuminating examples are also included.