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On derivations and commutativity in semi-prime rings
Ashraf, Mohammad ; Vukman, Joso
The main result of the present paper states as follows: Let ▫$R$▫ be a ▫$2,3$▫ and 5-torsion free semi-prime ring ▫$D : R \to R a$▫ derivation. Suppose that ▫$[[[D(x),x],x]\inZ(R)$▫ holds for all ...▫$x\inR$▫, where ▫$Z(R)$▫ denotes the centre of▫$R$▫. In this case ▫$[D(x),x]\equiv0$▫ is fulfilled for all ▫$x\inR$▫
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