A note on derivations in semiprime rings
We prove in this note the following result. Let n>1 be an integer and let R be an n!-torsion-free semiprime ring with identity element. Suppose that there exists an additive mapping D:R→R such that D(xn)=∑j=1nxn−jD(x)xj−1 is fulfilled for all x∈R. In this case, D is a derivation. This research is mo...
I tiakina i:
| Ngā kaituhi matua: | , |
|---|---|
| Hōputu: | Artigo |
| Reo: | Inglês |
| I whakaputaina: |
Wiley
2005-01-01
|
| Rangatū: | International Journal of Mathematics and Mathematical Sciences |
| Urunga tuihono: | http://dx.doi.org/10.1155/IJMMS.2005.3347 |
| Ngā Tūtohu: |
Kāore He Tūtohu, Me noho koe te mea tuatahi ki te tūtohu i tēnei pūkete!
|