Rendiconti del Seminario Matematico della Università di Padova
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Published online: 2010-06-30
Notes on Generalized $(\sigma,\tau)$-DerivationÖznur Gölbași and Emine Koç (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)+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