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GENERALIZED JORDAN TRIPLE HIGHER DERIVATIONS ON SEMIPRIME RINGS

  • Wei, Feng (DEPARTMENT OF MATHEMATICS BEIJING INSTITUTE OF TECHNOLOGY) ;
  • Xiao, Zhankui (DEPARTMENT OF MATHEMATICS BEIJING INSTITUTE OF TECHNOLOGY)
  • Published : 2009.05.31

Abstract

In this paper we prove that every generalized Jordan triple higher derivation on a 2-torsion free semiprime ring is a generalized higher derivation. This extend the main result of [9] to the case of a semiprime ring.

Keywords

References

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  2. Higher derivations of triangular algebras and its generalizations vol.435, pp.5, 2011, https://doi.org/10.1016/j.laa.2011.02.027
  3. Jordan higher derivations on triangular algebras vol.432, pp.10, 2010, https://doi.org/10.1016/j.laa.2009.12.006
  4. Jordan generalized derivations on triangular algebras vol.59, pp.8, 2011, https://doi.org/10.1080/03081087.2010.507600
  5. Nonlinear Jordan Triple Derivations of Triangular Algebras vol.04, pp.04, 2014, https://doi.org/10.4236/alamt.2014.44018
  6. Generalized Jordan Derivations on Semiprime Rings and Its Applications in Range Inclusion Problems vol.8, pp.3, 2011, https://doi.org/10.1007/s00009-010-0081-9
  7. JORDAN HIGHER CENTRALIZERS ON SEMIPRIME RINGS AND RELATED MAPPINGS vol.36, pp.3, 2014, https://doi.org/10.5831/HMJ.2014.36.3.505