<abstract xmlns="http://www.w3.org/1999/xhtml"><p> 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.</p></abstract>

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.

Lie Derivations on Trivial Extension Algebras

Annales Mathematicae Silesianae

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

{"article-title":"Lie Derivations on Trivial Extension Algebras"}

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...

Lie Derivations on Trivial Extension Algebras

Publié en ligne: 13 sept. 2017

Pages: 141 - 153

Reçu: 24 avr. 2016

Accepté: 16 sept. 2016

DOI: https://doi.org/10.1515/amsil-2016-0017

Mots clés
derivation, Lie derivation, trivial extension algebra, triangular algebra

© 2017

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Lie Derivations on Trivial Extension Algebras

Publié en ligne: 13 sept. 2017

Pages: 141 - 153

Reçu: 24 avr. 2016

Accepté: 16 sept. 2016

DOI: https://doi.org/10.1515/amsil-2016-0017

Mots clésderivation, Lie derivation, trivial extension algebra, triangular algebra

© 2017

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Mots clés
derivation, Lie derivation, trivial extension algebra, triangular algebra