2015 / March Volume 10 No.1
Generalized skew derivations on Lie ideals
| Published Date |
2015 / March
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|---|---|
| Title | Generalized skew derivations on Lie ideals |
| Author | |
| Keyword | |
| Download | |
| Pagination | 113-129 |
| 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.
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| AMS Subject Classification |
16W25, 16W20, 16N60.
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| Received |
2014-08-29
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| Accepted |
2014-08-26
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