Notes on Generalized (σ,τ)(\sigma,\tau)-Derivation

  • Öznur Gölbași

    Cumhuriyet University, Sivas, Turkey
  • Emine Koç

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

Cite this article

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

DOI 10.4171/RSMUP/123-6