Geodesic
Lie Derivations in Prime Rings With Involution
Canadian mathematical bulletin, Tome 42 (1999) no. 3, pp. 401-411

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DOI

Let $R$ be a non- $\text{GPI}$ prime ring with involution and characteristic $\ne 2,3$ . Let $K$ denote the skew elements of $R$ , and $C$ denote the extended centroid of $R$ . Let $\delta$ be a Lie derivation of $K$ into itself. Then $\delta \,=\,\rho \,+\,\varepsilon$ where $\varepsilon$ is an additive map into the skew elements of the extended centroid of $R$ which is zero on $\left[ K,\,K \right]$ , and $\rho$ can be extended to an ordinary derivation of $\left\langle K \right\rangle$ into $RC$ , the central closure.
DOI : 10.4153/CMB-1999-047-6
Mots-clés : 16W10, 16N60, 16W25 
Swain, Gordon A.; Blau, Philip S. Lie Derivations in Prime Rings With Involution. Canadian mathematical bulletin, Tome 42 (1999) no. 3, pp. 401-411. doi: 10.4153/CMB-1999-047-6
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     title = {Lie {Derivations} in {Prime} {Rings} {With} {Involution}},
     journal = {Canadian mathematical bulletin},
     pages = {401--411},
     year = {1999},
     volume = {42},
     number = {3},
     doi = {10.4153/CMB-1999-047-6},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1999-047-6/}
}
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