TY - JOUR
T1 - Generalized Jordan derivations on semiprime rings
AU - Wei, Feng
AU - Xiao, Zhankui
N1 - Publisher Copyright:
Copyright © 2018 by Walter de Gruyter GmbH.
PY - 2007/10
Y1 - 2007/10
N2 - It is shown that, given a 2-torsion-free semiprime ring with unit e, every generalized Jordan derivation on R is a generalized derivation. Let n be a fixed positive integer, R be a noncommutative (n + 1)!-torsion-free prime ring with the center CR. It is proved that, if μ : R → R is a generalized Jordan derivation of R such that μ(x)xn + xnμ{x) ∈ CR for all x ∈ R, then μ = 0.
AB - It is shown that, given a 2-torsion-free semiprime ring with unit e, every generalized Jordan derivation on R is a generalized derivation. Let n be a fixed positive integer, R be a noncommutative (n + 1)!-torsion-free prime ring with the center CR. It is proved that, if μ : R → R is a generalized Jordan derivation of R such that μ(x)xn + xnμ{x) ∈ CR for all x ∈ R, then μ = 0.
KW - Generalized Jordan derivations
UR - https://www.scopus.com/pages/publications/68949100115
U2 - 10.1515/dema-2007-0405
DO - 10.1515/dema-2007-0405
M3 - Article
AN - SCOPUS:68949100115
SN - 0420-1213
VL - 40
SP - 789
EP - 798
JO - Demonstratio Mathematica
JF - Demonstratio Mathematica
IS - 4
ER -