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Power-commuting skew derivations on Lie ideals

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Abstract

Let \(R\) be a prime ring of characteristic different from \(2\) and \(3\), \(L\) a non-central Lie ideal of \(R\), \((d,\sigma )\) a nonzero skew derivation of \(R\), \(n\) a fixed positive integer. If \([d(x),x]^{n}=0\) for all \(x\in L\), then \(R\) satisfies \(s_{4}\).

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Acknowledgments

The authors are really grateful to the referee’s careful reading and valuable comments.

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Authors and Affiliations

  1. Department of Mathematics and Computer Science, University of Messina, Viale Ferdinando Stagno d’Alcontres 31, 98166, Messina, Italy

    Vincenzo De Filippis

  2. Department of Mathematics, Chuzhou University, Chuzhou, 239000, China

    Shuliang Huang

Authors
  1. Vincenzo De Filippis
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  2. Shuliang Huang
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Corresponding author

Correspondence to Shuliang Huang.

Additional information

Communicated by J. S. Wilson.

This research work is supported by the Anhui Provincial Natural Science Foundation (1408085QA08) and the key University Science Research Project of Anhui Province (KJ2014A183) of China.

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De Filippis, V., Huang, S. Power-commuting skew derivations on Lie ideals. Monatsh Math 177, 363–372 (2015). https://doi.org/10.1007/s00605-014-0672-9

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  • DOI: https://doi.org/10.1007/s00605-014-0672-9

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