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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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. |
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DOI: | 10.48550/arxiv.1504.05924 |