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Online veröffentlicht: 13. Sept. 2017
Seitenbereich: 141 - 153
Eingereicht: 24. Apr. 2016
Akzeptiert: 16. Sept. 2016
DOI: https://doi.org/10.1515/amsil-2016-0017
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© 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.