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- W1563299434 abstract "Let $R$ be a prime ring, with extended centroid $C$, $g$ a non-zero generalized derivation of $R$, $L$ a non-central Lie ideal of $R$, $kgeq 1$ a fixed integer. If $[g(u),u]_k=0$, for all $u$, then either $g(x)=ax$, with $a in C$ or $R$ satisfies the standard identity $s_4$. Moreover in the latter case either $char(R)=2$ or $char(R)neq 2$ and $g(x)=ax+xb$ , with $a,b in Q$ and $a-bin C$. We also prove a more generalized version by replacing $L$ with the set $[I,I]$, where $I$ is a right ideal of $R$." @default.
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- W1563299434 date "2008-04-01" @default.
- W1563299434 modified "2023-10-03" @default.
- W1563299434 title "AN ENGEL CONDITION WITH GENERALIZED DERIVATIONS ON LIE IDEALS" @default.
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- W1563299434 doi "https://doi.org/10.11650/twjm/1500574164" @default.
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