Geodesic
A Result on Derivations with Algebraic Values
Canadian mathematical bulletin, Tome 29 (1986) no. 4, pp. 432-437

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

Let R be a prime algebra over a field F and let d be a non-zero derivation in R such that for every x ∊ R, d(x) is algebraic over F of bounded degree. Then R is a primitive ring with a minimal right ideal eR, where e2 = e and eRe is a finite dimensional central division algebra.
DOI : 10.4153/CMB-1986-068-5
Mots-clés : 16A72 
Vincenzo, Onofrio M. Di. A Result on Derivations with Algebraic Values. Canadian mathematical bulletin, Tome 29 (1986) no. 4, pp. 432-437. doi: 10.4153/CMB-1986-068-5
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[1] 1. Bergen, J., Ph.D. dissertation, U. of Chicago (1981). Google Scholar

[2] 2. Bergen, J., Lie ideals with regular and nilpotent elements and a result on derivations, Rend. Circ. Mat. Palermo (2). 33 (1984), pp. 99–108. Google Scholar

[3] 3. Herstein, I. N., Derivations of prime rings having power central values, Algebraists’ Homage, Contemporary Math. Vol. 13, AMS (1982). pp. 163-171. Google Scholar

[4] 4. Herstein, I. N., A note on derivations II, Can. Math. Bull., 22 (1979), pp. 509–511. Google Scholar

[5] 5. Herstein, I. N., A theorem on invariant subrings, J. Algebra, 83 (1983), pp. 26–32. Google Scholar

[6] 6. Herstein, I. N., Rings with involution, U. of Chicago Press (1976). Google Scholar

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