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Generalized Derivations on Power Values of Lie Ideals in Prime and Semiprime Rings

Author

Listed:
  • Vincenzo De Filippis
  • Nadeem UR Rehman
  • Abu Zaid Ansari

Abstract

Let be a 2-torsion free ring and let be a noncentral Lie ideal of , and let and be two generalized derivations of . We will analyse the structure of in the following cases: (a) is prime and for all and fixed positive integers ; (b) is prime and for all and fixed integers ; (c) is semiprime and for all and fixed integer ; and (d) is semiprime and for all and fixed integer .

Suggested Citation

  • Vincenzo De Filippis & Nadeem UR Rehman & Abu Zaid Ansari, 2014. "Generalized Derivations on Power Values of Lie Ideals in Prime and Semiprime Rings," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2014, pages 1-8, June.
    • Handle: RePEc:hin:jijmms:216039
    DOI: 10.1155/2014/216039
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    References listed on IDEAS

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    1. Mohamad Nagy Daif & Howard E. Bell, 1992. "Remarks on derivations on semiprime rings," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 15, pages 1-2, January.
    2. Motoshi Hongan, 1997. "A note on semiprime rings with derivation," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 20, pages 1-3, January.
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