A note on a pair of derivations of semiprime rings
We study certain properties of derivations on semiprime rings. The main purpose is to prove the following result: let R be a semiprime ring with center Z(R), and let f, g be derivations of R such that f(x)x+xg(x)∈Z(R) for all x∈R, then f and g are central. As an application, we show that noncommutat...
Wedi'i Gadw mewn:
| Prif Awduron: | , |
|---|---|
| Fformat: | Artigo |
| Iaith: | Inglês |
| Cyhoeddwyd: |
Wiley
2004-01-01
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| Cyfres: | International Journal of Mathematics and Mathematical Sciences |
| Mynediad Ar-lein: | http://dx.doi.org/10.1155/S0161171204302139 |
| Tagiau: |
Dim Tagiau, Byddwch y cyntaf i dagio'r cofnod hwn!
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