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arXiv · 1504.05924

Lie derivations on trivial extension algebras

A. H. Mokhtari·F. Moafian·H. R. Ebrahimi Vishki
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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 decomposed into the sum of a derivation and a center valued map. We extend some known results on the properness of Lie derivations of triangular algebras. Some illuminating examples are also included.

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A. H. Mokhtari, F. Moafian, H. R. Ebrahimi Vishki. 2015-06-01. Lie derivations on trivial extension algebras. https://arxiv.org/abs/1504.05924

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