A RESULT ON GENERALIZED DERIVATIONS WITH ENGEL CONDITIONS ON ONE-SIDED IDEALS


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DEMİR Ç. , ARGAÇ N.

JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY, cilt.47, ss.483-494, 2010 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 47 Konu: 3
  • Basım Tarihi: 2010
  • Doi Numarası: 10.4134/jkms.2010.47.3.483
  • Dergi Adı: JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY
  • Sayfa Sayıları: ss.483-494

Özet

Let R be a non-commutative prime ring and I a non-zero left ideal of R Let U be the left Utumi quotient ring of R and C be the center of U and k, m, n, r fixed positive integers If there exists a generalized derivation g of R such that [g(x(m))x(n), x(r)](k) = 0 for all x is an element of I, then there exists a is an element of U such that g(x) = xa for all x is an element of R except when R congruent to M(2)(GF(2)) and I[I, I] = 0