Lie derivations on trivial extension algebras

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 illuminat...

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Hauptverfasser: Mokhtari, A. H, Moafian, F, Vishki, H. R. Ebrahimi
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Sprache:eng
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Zusammenfassung: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.
DOI:10.48550/arxiv.1504.05924