Lie Derivations in Prime Rings With Involution

Canadian mathematical bulletin

关键词: asymptotic bound;    circle packing;   

DOI  :  10.4153/CMB-1999-047-6

学科分类：数学（综合）

来源: University of Toronto Press * Journals Division

【 摘 要 】

Let $R$ be a non-GPI prime ring with involution and characteristic$eq 2,3$. Let $K$ denote the skew elements of $R$, and $C$ denotethe extended centroid of $R$. Let $delta$ be a Lie derivation of $K$into itself. Then $delta=ho+epsilon$ where $epsilon$ is anadditive map into the skew elements of the extended centroid of $R$which is zero on $[K,K]$, and $ho$ can be extended to an ordinaryderivation of $langle Kangle$ into $RC$, the central closure.

【 授权许可】

Unknown