# Rendiconti del Seminario Matematico della Università di Padova

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**Volume 123, 2010, pp. 131–139**

**DOI: 10.4171/RSMUP/123-6**

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

Öznur Gölbași^{[1]}and Emine Koç

^{[2]}(1) Department of Mathematics, Cumhuriyet University, Sivas, Turkey

(2) Department of Mathematics, Cumhuriyet University, Sivas, Turkey

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.

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Gölbași Öznur, Koç Emine: Notes on Generalized $(\sigma,\tau)$-Derivation. *Rend. Sem. Mat. Univ. Padova* 123 (2010), 131-139. doi: 10.4171/RSMUP/123-6