Abstract
Let R be a prime ring of characteristic different from 2 and 3, L a noncentral Lie ideal of R, F a nonzero generalized skew derivation of R and \(n\ge 1\) be a fixed integer such that \([F(u),u]^n=0\) for all \(u\in L\). Suppose that R does not satisfy \(s_4\), then either there exists an element a in C such that \(F(x)=ax\) for all \(x\in R\) or there exists \(a\in C\) and \(b\in Q\) such that \(F(x)=ax+[b,x]\) for all \(x\in R\).
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Khan, S. Generalized skew derivations on Lie ideals in prime rings. Rend. Circ. Mat. Palermo, II. Ser 68, 219–225 (2019). https://doi.org/10.1007/s12215-018-0352-z
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DOI: https://doi.org/10.1007/s12215-018-0352-z