- Hacettepe Journal of Mathematics and Statistics
- Vol: 47 Issue: 5
- On $\ast$-$(\sigma,\tau)$-Lie ideals of $\ast$-prime rings with derivation
On $\ast$-$(\sigma,\tau)$-Lie ideals of $\ast$-prime rings with derivation
Authors : Neşet Aydin, Emine Koç, Öznur Gölbaşi
Pages : 1240-1247
View : 16 | Download : 7
Publication Date : 2018-10-16
Article Type : Research
Abstract :Let $R$ be a $\ast$-prime ring with characteristic not 2, $U$ be a nonzero $\ast$-$(\sigma,\tau)$- Lie ideal of $R$ and $d$ be a nonzero derivation of $R$. Suppose $\sigma$, $\tau$ be two automorphisms of $R$ such that $\sigma d=d\sigma$, $\tau d=d\tau$ and $\ast$ commutes with $\sigma,\tau,d$. In the present paper it is shown that if $d^2(U)=(0)$, then $U\subset Z$.Keywords : Derivations, $(sigma, au)$-Lie Ideals, $ast-$prime rings, involution