A RESULT ON GENERALIZED DERIVATIONS WITH ENGEL CONDITIONS ON ONE-SIDED IDEALS
Articles > Article · 2010
Authors: Çağrı DEMİR, Nurcan ARGAÇ
JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY, Journal Indexed in SCI Expanded, International, 2010, vol 47, pp 483-494
DOI: 10.4134/jkms.2010.47.3.483
Summary
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