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Generalized derivations on Lie ideals in prime rings
Derivations Lie ideals generalized derivations centralizing mappings prime rings
2011/4/6
Let R be a prime ring with characteristic different from two, U a nonzero Lie ideal of R and f be a generalized derivation associated with d. We prove the following results: (i) If [u,f(u)] \in Z, for...
Derivations as Homomorphisms and Anti-homomorphisms on Lie Ideals (在Lie理想上为同态和反同态的导子)
素环 Lie理想 导子 同态 反同态
2007/12/12
设$R$是2-扭自由的素环,$Z$是它的中心,$U$是它的Lie理想.如果$d$是$R$的一个导子,并且在$U$上是同态或反同态,则$d=0$,或者$U\subseteq Z$.此结果改进了Asma, Rehman,以及Shakir的一个定理.
这篇论文证明:设$R$是素环,$d$是$R$的微商,$L$是$R$的一个非中心Lie理想,并且$[d(u),u]^{n}$在中心对,对所有的$u\in L$成立,则$R$一定满足$s_{4}$,四个变量的标准恒等式.这篇论文中结果改进了 Carini和Filippis的结果.
In this paper, we proved some results for one-sided (s, t)-Lie ideals in prime rings.
Let R be a prime ring of characteristic 3, s and t automorphisms of R, U a non zero ( s, t) - Lie ideal of R, d a nonzero derivation of R such that sd = ds , td = dt,d(U) (bak) U, and d2(U) (bak) Z, t...
Let R be a prime ring, char R\neq 2,3 \, s, t : R\rightarrow R two automorphisms, U a nonzero (s, t)- Lie ideal of R and o\neq d : R\rightarrow R a derivation such that s d = ds, t d = dt. In this pap...