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

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DOI

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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     author = {Lee, Tsiu-Kwen},
     title = {Semiprime {Rings} with {Hypercentral} {Derivations}},
     journal = {Canadian mathematical bulletin},
     pages = {445--449},
     year = {1995},
     volume = {38},
     number = {4},
     doi = {10.4153/CMB-1995-065-2},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1995-065-2/}
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