排序方式: 共有16条查询结果,搜索用时 171 毫秒
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Throughout,RisaJacobsonradicalring,anddefinea b =a +b -aband [a ,b] =ab-baforanya ,b∈R .Then (R , )isagroupwithidentity 0 ,calledtheadjointorcirclegroupofR ,and (R ,+,[,] )isaLiering ,calledtheassociatedLieringofR .ItwasprovedbyJennings[1]that(R , )isanilpotentgroupifandonlyif (… 相似文献
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This article gives characterizations of generalized derivations with skew nilpotent values on noncommutative Lie ideals of a prime ring. The results simultaneously generalize the ones of Herstein, Lee and Carini et al. 相似文献
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本文讨论了微商共同作用在半素环的某个Lie理想上的问题。给出了如下结果:设R是带有中心Z(R)的半素环,Qmr是R的极大右商环,L是R的非交换Lie理想,d和δ是R的微商,假设rR(「L,L」)=0且d(x)x-xδ(x)∈Z(R)对任意x∈L成立,则在R的扩张形心C中存在一个幂等元e使得d(1-e)Qmr=0和δ(1-e)Qmr)=0并且eQmr满足S4。另外给出微商共同作用在半素环上多项式的结 相似文献
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设R是半素环,U是R的极大右商环,C是R的扩展型心,a,b∈U.对R上广义导子δ的值的幂零,幂中心化子问题进行了讨论,即(aδ(x))~nb=0(∈C)形式的恒等式,对δ的形式以及δ与a,b的关系做了完整的刻画,从而发展了Herstein,Brear的研究结果. 相似文献
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Let A be a normal class of algebra. In the present paper, we characterize the following four problems for A: for which radical class R, there holds that(1) R(i1∧A i2) = R(i1)∧AR(i2);(2) R(i1∨i2) = R(i1)∨R(i2);(3) (i1∧i2) = i1∧i2;(4) (i1 ∨ i2) = i1 ∨ i2, for arbitrary algebra a ∈ A and any i1,i2∈La,where j denotes the ideal of a uniquely determined by R(a/j)=j/j? 相似文献