Notes on generalized (?, ?)-derivation
Abstract
Let R be a prime ring with charR ? 2 and let ?, ? be automorphisms of R. An additive mapping f: R ? R is called a generalized (?, ?)-derivation if there exists a (?, ?)-derivation d: R ? R such that f(xy) = f(x)?(y) + ?(x)d(y) holds for all x, y ? R. In this paper, some well known results concerning generalized derivations of prime rings are extended to generalized (?, ?)-derivations.
Source
Rendiconti del Seminario Matematico dell 'Universita' di Padova/Mathematical Journal of the University of PadovaVolume
123Collections
- Makale Koleksiyonu [5745]