科研之友
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摘要
Let R be a prime ring, L a noncentral Lie ideal of R, and a. R. Set [x, y](1) = [x, y] = xy - yx for x,y epsilon R and inductively [x, y](k) = [[x, y](k-1), y] for k > 1. Suppose that delta is a nonzero sigma-derivation of R such that a[delta(x), x](k) = 0 for all x epsilon L, where sigma is an automorphism of R and k is a fixed positive integer. Then a = 0 except when char R = 2 and R subset of M-2 (F), the 2 x 2 matrix ring over a field F.
- 出版日期2016
