Geodesic
On $m$-commuting mappings with skew derivations in prime rings
Algebra i analiz, Tome 27 (2015) no. 4, pp. 74-86.

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Let $m,k$ be two fixed positive integers, $R$ a prime ring with the Martindale qoutient ring $Q$, $L$ a noncommutative Lie ideal of $R$, and $\delta$ a skew derivation of $R$ associated with an automorphism $\varphi$, denoted by $(\delta,\varphi)$. If $[\delta(x),x^m]_k=0$ for all $x\in L$, then $char(R)=2$ and $R\subseteq M_2(F)$ for some field $F$.
Keywords: skew derivations, automorphism, generalized polynomial identity (GPI), prime ring, Lie ideal. 
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N. Rehman; M. Arif Raza. On $m$-commuting mappings with skew derivations in prime rings. Algebra i analiz, Tome 27 (2015) no. 4, pp. 74-86. http://geodesic.mathdoc.fr/item/AA_2015_27_4_a5/

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