Geodesic
Lie Derivations on Skew Elements in Prime Rings With Involution
Canadian mathematical bulletin, Tome 30 (1987) no. 3, pp. 344-350

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DOI

Let R be a prime ring with involution satisfying x/2 ∊ R whenever x ∊ R. Assume that R has two nontrivial symmetric idempotents e1, e2 whose sum is not 1, and that the subrings determined by e1, e2, 1 — (e1 + e2) are not orders in simple rings of dimension at most 4 over their centers. Then if L is a Lie derivation of the skew elements K into R there exists a subring A of R, A ⊆ , a derivation D :A → RC, the central closure of R, and a mapping T:R → C, satisfying L = D + T on K and = 0.
DOI : 10.4153/CMB-1987-049-5
Mots-clés : 16A72 
Killam, Eleanor. Lie Derivations on Skew Elements in Prime Rings With Involution. Canadian mathematical bulletin, Tome 30 (1987) no. 3, pp. 344-350. doi: 10.4153/CMB-1987-049-5
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     author = {Killam, Eleanor},
     title = {Lie {Derivations} on {Skew} {Elements} in {Prime} {Rings} {With} {Involution}},
     journal = {Canadian mathematical bulletin},
     pages = {344--350},
     year = {1987},
     volume = {30},
     number = {3},
     doi = {10.4153/CMB-1987-049-5},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1987-049-5/}
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