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XU Xiao-wei
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Abstract: This article deals with the nilpotent derivation in a s emiprime ring, and with related technique in its extended ring, it is proved tha t (1) R is an n!-torsionfree semiprime ring, n∈N, Z is the center of R, δ is a derivation of R, if δn(R)=0, then δ(Z)=0; (2) R is a prime ring with char R≠2, Z is the center of R, U1,U2,…,Unare Lie ideals of R, if d1,d2,…,dnare the nonzero derivations of R and [[… [d1(U 1),d2(U2)],…],dn(Un)]Z, then there exists i∈{1,2,…,n}, such that UiZ.
Key words: prime ring, semiprime ring, nilpotentderivation, Lie ideal
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XU Xiao-wei. Nilpotent derivations in semiprime rings[J].J4, 2004, 42(02): 172-175.
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http://xuebao.jlu.edu.cn/lxb/EN/Y2004/V42/I02/172
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