The Property in Pprime Ring with Derivations

2011 
In this paper,we discuss the property of iderls in prime ring with derivations.Let R be a prime ring of Char R≠2 and let U be a Lie iderl of R,that is satisfied u2∈U for all u∈U.if there exists a nonzero derivation d in R such that d(u2)■Z or [d(u),u2]■Z or all u∈U,then U■Z.
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