# Notes on Generalized $(\sigma,\tau)$-Derivation

### Öznur Gölbași

Cumhuriyet University, Sivas, Turkey### Emine Koç

Cumhuriyet University, Sivas, Turkey

## Abstract

Let *R* be a prime ring with *char R* ≠ 2 and let σ, τ be automorphisms of *R*. An additive mapping *f* : *R* → R is called a generalized (σ, τ)–derivation if there exists a (σ, τ)–derivation *d* : *R* → R such that *f(xy)* = *f(x) σ(y)*+τ_(x)d(y)_ holds for all

*x,y*∈

*R*. In this paper some well known results concerninggeneralized derivations of prime rings are extended to generalized (σ, τ)–derivations.

## Cite this article

Öznur Gölbași, Emine Koç, Notes on Generalized $(\sigma,\tau)$-Derivation. Rend. Sem. Mat. Univ. Padova 123 (2010), pp. 131–139

DOI 10.4171/RSMUP/123-6