$\ast$-prime rings; Jordan ideals; derivations
Let $R$ be a $2$-torsion free $\ast$-prime ring, $d$ a derivation which commutes with $\ast$ and $J$ a $\ast$-Jordan ideal and a subring of $R$. In this paper, it is shown that if either $d$ acts as a homomorphism or as an anti-homomorphism on $J$, then $d=0$ or $J\subseteq Z(R)$. Furthermore, an example is given to demonstrate that the $\ast$-primeness hypothesis is not superfluous.
 Oukhtite L., Salhi S., Taoufiq L.: $\sigma$-Lie ideals with derivations as homomorphisms and anti-homomorphisms
. Int. J. Algebra 1 (2007), no. 5, 235–239. MR 2342996
| Zbl 1124.16028
 Oukhtite L., Salhi S.: On generalized derivations of $\sigma $-prime rings
. Afr. Diaspora J. Math. 5 (2007), no. 1, 21–25. MR 2337187