Generalized skew derivations on Lie ideals
by Vincenzo De Filippis   Cagri Demir  

Vol. 10 No. 1 (2015) P.113~P.129

ABSTRACT

Let $\textit{R}$ be a prime ring with center $\textit{Z}$($\textit{R}$), $\textit{C}$ its extended centroid, $\textit{L}$ a noncentral Lie ideal of $\textit{R}$ and n, m $\geq$ 1 fixed integers. Suppose that $\textit{F}$ is a nonzero generalized skew derivation of $\textit{R}$ such that F$(u^{n})u^{m}$ $\epsilon$ Z(R), for all u $\epsilon$ $\textit{L}$. Then $dim_{c}$ $\textit{R}$$\textit{C}$= 4.

KEYWORDS
Generalized skew derivation, automorphism, (semi-)prime ring.

MATHEMATICAL SUBJECT CLASSIFICATION 2010
Primary: 16W25, 16W20, 16N60.

MILESTONES

Received: 2013-02-08
Revised : 2014-08-29
Accepted: 2014-08-26

Download Full Content