Derivations on Lie Ideals of σ-Prime Γ-Rings
DOI:
https://doi.org/10.3329/jbas.v39i2.25959Keywords:
Lie ideal, sigma-square closed Lie ideal, sigma-prime G-ring, DerivationAbstract
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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