TY - JOUR
T1 - Generalized derivations with nilpotent values on multilinear polynomials
AU - Lin, Jer Shyong
AU - Liu, Cheng Kai
PY - 2006/1/1
Y1 - 2006/1/1
N2 - Let R be a prime ring without nonzero nil one-sided ideals. Suppose that g is a generalized derivation of R and that f(X1, ..., Xk) is a multilinear polynomial not central-valued on R such that g(f(x1, ..., Xk)) is nilpotent for all x1, ..., Xk in some nonzero ideal of R. Then g = 0.
AB - Let R be a prime ring without nonzero nil one-sided ideals. Suppose that g is a generalized derivation of R and that f(X1, ..., Xk) is a multilinear polynomial not central-valued on R such that g(f(x1, ..., Xk)) is nilpotent for all x1, ..., Xk in some nonzero ideal of R. Then g = 0.
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U2 - 10.11650/twjm/1500557297
DO - 10.11650/twjm/1500557297
M3 - Article
AN - SCOPUS:33750039225
VL - 10
SP - 1183
EP - 1192
JO - Taiwanese Journal of Mathematics
JF - Taiwanese Journal of Mathematics
SN - 1027-5487
IS - 5
ER -