Geodesic
On Derivations in Prime Rings and a Question of Herstein
Canadian mathematical bulletin, Tome 22 (1979) no. 3, pp. 339-344

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In [2], Herstein proves the following result:Theorem. Let R be a prime ring, d≠0 a derivation of R such that d(x) d(y) = d(y) d(x) for all x, y ∈ R. Then, if char r≠2, R is commutative, and if char R = 2, R is commutative or an order in a simple algebra which is 4-dimensional over its center. 
Kovacs, Amos. On Derivations in Prime Rings and a Question of Herstein. Canadian mathematical bulletin, Tome 22 (1979) no. 3, pp. 339-344. doi: 10.4153/CMB-1979-042-0
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[1] 1. Belluce, L. P. and Jain, S. K., Prime rings with a one sided ideal satisfying a polynomial identity, Pacific J. Math. vol. 24, No. 3, 1968, pp. 421-424. Google Scholar

[2] 2. Hernstein, I. N., A note on derivations, to appear. Google Scholar

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