Derivations on Lie Ideals of &sigma;-Prime &Gamma;-Rings | Zendy

Md Mizanor Rahman | Zendy; Akhil Chandra Paul | Zendy

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Derivations on Lie Ideals of σ-Prime Γ-Rings

Author(s) -

Md Mizanor Rahman,

Akhil Chandra Paul

Publication year - 2015

Publication title -

journal of bangladesh academy of sciences

Language(s) - English

Resource type - Journals

eISSN - 2224-7270

pISSN - 0378-8121

DOI - 10.3329/jbas.v39i2.25959

Subject(s) - mathematics , prime (order theory) , torsion (gastropod) , ideal (ethics) , combinatorics , pure mathematics , law , political science , medicine , surgery

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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