Abstract
Let R be a prime ring and L a noncommutative Lie ideal of R. Suppose that f is a right generalized β-derivation of R associated with a β-derivation δ such that f(x)n = 0 for all \({x\in L}\), where n is a fixed positive integer. Then f = 0.
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Communicated by John S. Wilson.
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Chang, JC. Generalized skew derivations with nilpotent values on Lie ideals. Monatsh Math 161, 155–160 (2010). https://doi.org/10.1007/s00605-009-0136-9
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DOI: https://doi.org/10.1007/s00605-009-0136-9
Keywords
- Skew derivation
- Generalized skew derivation
- Automorphism
- Prime ring
- Generalized polynomial identity (GPI)
- Lie ideal