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

Voir la notice de l'article provenant de la source Cambridge University Press

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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[1] 1. Ericson, T.S., The Lie Structure in Prime Rings with Involution, J. Algebra 21 (1972), pp. 523 — 534. Google Scholar

[2] 2. Jacobs, D.R., Lie Derivations on the Skew Elements of Simple Rings with Involution, Ph.D. dissertation, University of Massachusetts, 1973. Google Scholar

[3] 3. W. S., Martindale III, Lie Derivations of Primitive Rings, Mich. Math. J. 11 (1964), pp. 183–187. Google Scholar

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