Derivations on Lie Ideals of σ-Prime Γ-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/jbas.v39i2.25959

Keywords:

Lie ideal, sigma-square closed Lie ideal, sigma-prime G-ring, Derivation

Abstract

The authors extend and generalize some results of previous workers to ?-prime ?-ring. For a ?-square closed Lie ideal U of a 2-torsion free ?-prime ?-ring M, let d: M ?M be an additive mapping satisfying d(u?u)=d(u)? u + u?d(u) for all u ? U and ? ? ?. The present authors proved that d(u?v) = d(u)?v + u?d(v) for all u, v ? U and ?? ?, and consequently, every Jordan derivation of a 2-torsion free ?-prime ?-ring M is a derivation of M.

Journal of Bangladesh Academy of Sciences, Vol. 39, No. 2, 249-255, 2015

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Author Biography

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



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Published

2015-12-14

How to Cite

Rahman, M. M., & Paul, A. C. (2015). Derivations on Lie Ideals of σ-Prime Γ-Rings. Journal of Bangladesh Academy of Sciences, 39(2), 249–255. https://doi.org/10.3329/jbas.v39i2.25959

Issue

Vol. 39 No. 2 (2015)

Section

Articles