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 |
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All Science Journal Classification (ASJC) codes
- Mathematics(all)
Cite this
Lin, J. S., & Liu, C. K. (2006). Generalized derivations with nilpotent values on multilinear polynomials. Taiwanese Journal of Mathematics, 10(5), 1183-1192. https://doi.org/10.11650/twjm/1500557297