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.


16Y30 Near-rings
16W25 Derivations, actions of Lie algebras
16N60 Prime and semiprime associative rings
16U70 Center, normalizer (invariant elements) (associative rings and algebras)


Zbl 1066.16053