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http://dx.doi.org/10.4134/BKMS.2011.48.5.917

GENERALIZED DERIVATIONS WITH ANNIHILATOR CONDITIONS IN PRIME RINGS  

Wang, Yu (Mathematics and Science College Shanghai Normal University)
Publication Information
Bulletin of the Korean Mathematical Society / v.48, no.5, 2011 , pp. 917-922 More about this Journal
Abstract
Let R be a prime ring, H a generalized derivation of R, L a noncentral Lie ideal of R, and 0 ${\neq}$ a ${\in}$ R. Suppose that $au^sH(u)u^t$ = 0 for all u ${\in}$ L, where s; t ${\geq}$ 0 are fixed integers. Then H = 0 unless satisfies $S_4$, the standard identity in four variables.
Keywords
prime ring; derivation; generalized derivation; extended centroid; Utumi quotient ring;
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