Annihilator condition of a pair of derivations in prime and semiprime rings


Dhara B., ARGAÇ N. , Pradhan K. G.

INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS, cilt.47, ss.111-124, 2016 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 47 Konu: 1
  • Basım Tarihi: 2016
  • Doi Numarası: 10.1007/s13226-015-0166-z
  • Dergi Adı: INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS
  • Sayfa Sayıları: ss.111-124

Özet

Let n be a fixed positive integer, R be a prime ring, D and G two derivations of R and L a noncentral Lie ideal of R. Suppose that there exists 0 not equal a a R such that a(D(u)u (n) -u (n) G(u)) = 0 for all u a L, where n a parts per thousand yen 1 is a fixed integer. Then one of the following holds: D = G = 0, unless R satisfies s (4);