Lie Derivations on Trivial Extension Algebras

Amir Hosein Mokhtari; Fahimeh Moafian; Hamid Reza Ebrahimi Vishki

doi:10.1515/amsil-2016-0017

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Lie Derivations on Trivial Extension Algebras

Annales Mathematicae Silesianae

Volume 31 (2017): Issue 1 (September 2017)

By: Amir Hosein Mokhtari, Fahimeh Moafian and Hamid Reza Ebrahimi Vishki

Open Access

|Sep 2017

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.

References

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Articles in this issue

DOI: https://doi.org/10.1515/amsil-2016-0017 | Journal eISSN: 2391-4238 | Journal ISSN: 0860-2107

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Language: English

Page range: 141 - 153

Submitted on: Apr 24, 2016

Accepted on: Sep 16, 2016

Published on: Sep 13, 2017

Published by: University of Silesia in Katowice, Institute of Mathematics

In partnership with: Paradigm Publishing Services

Publication frequency: 2 issues per year

Keywords:

derivation,

Lie derivation,

trivial extension algebra,

triangular algebra

Related subjects:

Mathematics,

General mathematics

© 2017 Amir Hosein Mokhtari, Fahimeh Moafian, Hamid Reza Ebrahimi Vishki, published by University of Silesia in Katowice, Institute of Mathematics
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Volume 31 (2017): Issue 1 (September 2017)