Rendiconti del Seminario Matematico della Università di Padova


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Volume 123, 2010, pp. 131–139
DOI: 10.4171/RSMUP/123-6

Published online: 2010-06-30

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

Öznur Gölbași[1] and Emine Koç[2]

(1) Cumhuriyet University, Sivas, Turkey
(2) 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)(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.

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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