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Lie Derivations on Trivial Extension Algebras

Amir Hosein Mokhtari; Fahimeh Moafian; Hamid Reza Ebrahimi Vishki — 2017

Annales Mathematicae Silesianae

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.

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