Commutativity results for semiprime rings with derivations
Open Access
- 1 January 1998
- journal article
- research article
- Published by Hindawi Limited in International Journal of Mathematics and Mathematical Sciences
- Vol. 21 (3), 471-474
- https://doi.org/10.1155/s0161171298000660
Abstract
We extend a result of Herstein concerning a derivationon a prime ringsatisfyingfor all, to the case of semiprime rings. An extension of this result is proved for a two-sided ideal but is shown to be not true for a one-sided ideal. Some of our recent results dealing with- and- derivations on a prime ring are extended to semiprime rings. Finally, we obtain a result on semiprime rings for whichfor allin some ideal.