Lie derivations on trivial extension algebras

Amir Hosein Mokhtari; Fahimeh Moafian; Hamid Reza Ebrahimi Vishki

Published: 2016-12-18

Vol. 31 (2017)

Lie derivations on trivial extension algebras

Amir Hosein Mokhtari , Fahimeh Moafian , Hamid Reza Ebrahimi Vishki

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.

Keywords:

derivation , Lie derivation , trivial extension algebra , triangular algebra

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Mokhtari, A. H., Moafian, F., & Vishki, H. R. E. (2016). Lie derivations on trivial extension algebras. Annales Mathematicae Silesianae, 31, 141–153. Retrieved from https://journals.us.edu.pl/index.php/AMSIL/article/view/13946

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Amir Hosein Mokhtari

Affiliation:

Department of Pure Mathematics, Ferdowsi University of Mashhad, Iran Iran, Islamic Republic of

Fahimeh Moafian

Affiliation:

Department of Pure Mathematics, Ferdowsi University of Mashhad, Iran Iran, Islamic Republic of

Hamid Reza Ebrahimi Vishki

vishki@um.ac.ir

Affiliation:

Department of Pure Mathematics & Center of Excellence in Analysis on Algebraic Structures (CEAAS), Ferdowsi University of Mashhad, Iran Iran, Islamic Republic of

Vol. 31 (2017)
Published: 2017-09-13

ISSN: 0860-2107

eISSN: 2391-4238

10.1515/amsil

Publisher

University of Silesia Press

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