On prime near-rings with generalized derivation.
A generalized derivation \(f\) with associated derivation \(D\) in a (left) nearring \(N\) is an additive endomorphism of \(N\) such that \(f(xy)=f(x)y+xD(y)\), \(\forall x,y\in N\). Now \(3\)-prime \(2\)-torsion free nearrings with a generalized derivation fulfilling certain conditions are commutative rings.
scientific article; zbMATH DE number 5313285