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Generalized Derivations with Nilpotent Values on Semiprime Rings |
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| Authors: | Feng?Wei mailto:daoshuo@bit.edu.cn" title=" daoshuo@bit.edu.cn" itemprop=" email" data-track=" click" data-track-action=" Email author" data-track-label=" " >Email author |
| Affiliation: | (1) Department of Mathematics, Beijing Institute of Technology, Beijing, 100081, P. R. China |
| Abstract: | Abstract Let R be a semiprime ring, R F be its left Martindale quotient ring and I be an essential ideal of R. Then every generalized derivation μ defined on I can be uniquely extended to a generalized derivation of R F . Furthermore, if there exists a fixed positive integer n such that μ(x) n = 0 for all x ∈I, then μ = 0. This work is supported by the mathematical Tianyuan research foundation and the post-doctorate research foundation |
| Keywords: | Semiprime ring Generalized derivation Canonical sheaf of semiprime ring |
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