A result on generalized derivations on right ideals of prime rings


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DEMİR Ç. , ARGAÇ N.

UKRAINIAN MATHEMATICAL JOURNAL, cilt.64, ss.186-197, 2012 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 64 Konu: 2
  • Basım Tarihi: 2012
  • Doi Numarası: 10.1007/s11253-012-0637-x
  • Dergi Adı: UKRAINIAN MATHEMATICAL JOURNAL
  • Sayfa Sayıları: ss.186-197

Özet

Let R be a prime ring of characteristic other than 2 and let I be a nonzero right ideal of R. Also let U be the right Utumi quotient ring of R and let C be the center of U. If G is a generalized derivation of R such that [[G(x), x], G(x)] = 0 for all x a I, then R is commutative or there exist a, b a U such that G(x) = ax + xb for all x a R and one of the following assertions is true: (1) (a - lambda)I = (0) = (b + lambda)I for some lambda epsilon C,