Bell, Howard E.; Argac, Nurcan Derivations, products of derivations, and commutativity in near-rings. (English) Zbl 1004.16046 Algebra Colloq. 8, No. 4, 399-407 (2001). The authors deal mainly with zero-symmetric 3-prime near-rings and derivations on them. They study different types of conditions for derivations that imply, for example, that the supporting group of the near-ring is Abelian or the near-ring is commutative; other types of conditions, involving pair of derivations, force one of them to be zero. The last section presents results on higher derivations. Reviewer: Viorel Mihai Gontineac (Iaşi) Cited in 1 ReviewCited in 14 Documents MSC: 16Y30 Near-rings 16W25 Derivations, actions of Lie algebras 16U70 Center, normalizer (invariant elements) (associative rings and algebras) 16U80 Generalizations of commutativity (associative rings and algebras) Keywords:3-prime near-rings; derivations; commutativity theorems PDFBibTeX XMLCite \textit{H. E. Bell} and \textit{N. Argac}, Algebra Colloq. 8, No. 4, 399--407 (2001; Zbl 1004.16046)