Abstract
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.
| Original language | English |
|---|---|
| Pages (from-to) | 1183-1192 |
| Number of pages | 10 |
| Journal | Taiwanese Journal of Mathematics |
| Volume | 10 |
| Issue number | 5 |
| DOIs | |
| Publication status | Published - 2006 Jan 1 |
Fingerprint
All Science Journal Classification (ASJC) codes
- Mathematics(all)
Cite this
}
Generalized derivations with nilpotent values on multilinear polynomials. / Lin, Jer Shyong; Liu, Cheng Kai.
In: Taiwanese Journal of Mathematics, Vol. 10, No. 5, 01.01.2006, p. 1183-1192.Research output: Contribution to journal › Article
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.
UR - http://www.scopus.com/inward/record.url?scp=33750039225&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=33750039225&partnerID=8YFLogxK
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 -