NOTES ON GENERALIZED DERIVATIONS OF *-PRIME RINGS


Creative Commons License

KOÇ E. , Rehman N. U.

MISKOLC MATHEMATICAL NOTES, cilt.15, ss.117-123, 2014 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 15 Konu: 1
  • Basım Tarihi: 2014
  • Doi Numarası: 10.18514/mmn.2014.779
  • Dergi Adı: MISKOLC MATHEMATICAL NOTES
  • Sayfa Sayıları: ss.117-123

Özet

Let R be a *-prime ring with characteristic different from two and U not equal 0 be a square closed *-Lie ideal of R. An additive mapping F : R -> R is called an generalized derivation if there exits a derivation d : R -> R such that F(xy) = F(x)y + xd(y). In the present paper, it is shown that U subset of Z if R is a *-prime ring which admits a generalized derivation satisfying several conditions that are associated with a derivation commuting with *.