Semiprime Rings with Hypercentral Derivations
Canadian mathematical bulletin, Tome 38 (1995) no. 4, pp. 445-449

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

Let R be a semiprime ring with a derivation d, λ a left ideal of R and k, n two positive integers. Suppose that [d(xn),xn]k = 0 for all x ∊ λ. Then [λ,R]d(R) = 0. That is, there exists a central idempotent e ∊ U, the left Utumi quotient ring of R, such that d vanishes identically on eU and λ(l — e) is central in (1 — e)U
DOI : 10.4153/CMB-1995-065-2
Mots-clés : 16W25, 16N60, semiprime rings, derivations, differential identities
Lee, Tsiu-Kwen. Semiprime Rings with Hypercentral Derivations. Canadian mathematical bulletin, Tome 38 (1995) no. 4, pp. 445-449. doi: 10.4153/CMB-1995-065-2
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