Lie Derivations on Trivial Extension Algebras

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 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 al...

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Veröffentlicht in:Annales mathematicae Silesianae 2017-09, Vol.31 (1), p.141-153
Hauptverfasser: Mokhtari, Amir Hosein, Moafian, Fahimeh, Vishki, Hamid Reza Ebrahimi
Format: Artikel
Sprache:eng
Schlagworte:
derivation
Lie derivation
triangular algebra
trivial extension algebra
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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 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.
ISSN:0860-2107
2391-4238
0860-2107
DOI:10.1515/amsil-2016-0017