Jordan Derivations on Lie Ideals of Semiprime ?-Rings

Authors

  • Md Mizanor Rahman Department of Mathematics, Jagannath University, Dhaka-1100
  • Akhil Chandra Paul Department of Mathematics, University of Rajshahi, Rajshahi-6205

DOI:

https://doi.org/10.3329/ganit.v34i0.28552

Keywords:

Derivation, Jordan derivation, Lie ideal, admissible Lie ideal, ?-ring, semiprime ?-ring

Abstract

Let M be a 2-torsion free semiprime G-ring satisfying the condition a?b?c = a?b?c,?a, b, c ?M and ?, ? ??. Let U be an admissible Lie ideal of M that is, u?u ? U,?u ? U, ? ?G and U ?Z(M), the centre of M. If d : M -> M is an additive mapping such that d is a Jordan derivation on U of M, then d is a derivation on U.

GANIT J. Bangladesh Math. Soc.Vol. 34 (2014) 35-46

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Author Biography

Md Mizanor Rahman, Department of Mathematics, Jagannath University, Dhaka-1100



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Published

2016-06-28

How to Cite

Rahman, M. M., & Paul, A. C. (2016). Jordan Derivations on Lie Ideals of Semiprime ?-Rings. GANIT: Journal of Bangladesh Mathematical Society, 34, 35–46. https://doi.org/10.3329/ganit.v34i0.28552

Issue

Vol. 34 (2014)

Section

Articles

License

The copyright of GANIT: Journal of Bangladesh Mathematical Society is reserved by Bangladesh Mathematical Society (web: https://bdmathsociety.org/)