Remarks on derivations on semiprime rings
We prove that a semiprime ring R must be commutative if it admits a derivation d such that (i) xy+d(xy)=yx+d(yx) for all x, y in R, or (ii) xy−d(xy)=yx−d(yx) for all x, y in R. In the event that R is prime, (i) or (ii) need only be assumed for all x, y in some nonzero ideal of R.
Kaydedildi:
| Asıl Yazarlar: | , |
|---|---|
| Materyal Türü: | Artigo |
| Dil: | Inglês |
| Baskı/Yayın Bilgisi: |
Wiley
1992-01-01
|
| Seri Bilgileri: | International Journal of Mathematics and Mathematical Sciences |
| Konular: | |
| Online Erişim: | http://dx.doi.org/10.1155/S0161171292000255 |
| Etiketler: |
Etiket eklenmemiş, İlk siz ekleyin!
|