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Correction: Results on prime near-rings with $$(\sigma,\tau)$$-derivation. (English) Zbl 1184.16049
From the introduction: In the proof of Theorem 7 on p. 7 in the article mentioned in the title [ibid. 46, 1-7 (2004; Zbl 1066.16053)], Brauer’s Trick method is used wrongly, in which case the corrected should read as follows: Theorem 7. Let $$N$$ be a 2-torsion free prime left near-ring, $$D$$ be a nonzero $$(\sigma,\tau)$$-derivation of $$N$$ such that $$\sigma D=D\sigma$$, $$\tau D=D\tau$$. If $$[D(N),D(N)]_{\sigma,\tau}=0$$ then $$N$$ is commutative ring.
##### MSC:
 16Y30 Near-rings 16W25 Derivations, actions of Lie algebras 16N60 Prime and semiprime associative rings 16U70 Center, normalizer (invariant elements) (associative rings and algebras)