<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

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
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

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

Keywordsderivation, Lie derivation, trivial extension algebra, triangular algebra

© 2017

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

Keywords
derivation, Lie derivation, trivial extension algebra, triangular algebra