Published: 2016-12-18

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.

Domyślna okładka

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


ISSN: 0860-2107
eISSN: 2391-4238
Ikona DOI 10.2478/amsil

Publisher
University of Silesia Press

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