A note on semiprime rings with derivation
Let R be a 2-torsion free semiprime ring, I a nonzero ideal of R, Z the center of R and D:R→R a derivation. If d[x,y]+[x,y]∈Z or d[x,y]−[x,y]∈Z for all x, y∈I, then R is commutative.
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| Format: | Artikel |
| Sprache: | English |
| Veröffentlicht: |
Wiley
1997-01-01
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| Schriftenreihe: | International Journal of Mathematics and Mathematical Sciences |
| Schlagworte: | |
| Online Zugang: | http://dx.doi.org/10.1155/S0161171297000562 |