Notes On Generalized (sigma, tau)-Derivation


GÖLBAŞI Ö. , KOÇ E.

RENDICONTI DEL SEMINARIO MATEMATICO DELLA UNIVERSITA DI PADOVA, cilt.123, ss.131-139, 2010 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 123
  • Basım Tarihi: 2010
  • Dergi Adı: RENDICONTI DEL SEMINARIO MATEMATICO DELLA UNIVERSITA DI PADOVA
  • Sayfa Sayıları: ss.131-139

Özet

Let R be a prime ring with charR not equal 2 and let sigma, tau be automorphisms of R. An additive mapping f : R -> R is called a generalized (sigma, tau)-derivation if there exists a (sigma, tau)-derivation d : R -> R such that f(xy) = f(x)sigma(y)+tau(x)d(y) holds for all x,y is an element of R. In this paper, some well known results concerning generalized derivations of prime rings are extended to generalized (sigma,tau)-derivations.