On $\ast$-$(\sigma,\tau)$-Lie ideals of $\ast$-prime rings with derivation

Authors : Neşet AYDIN, Emine KOÇ, Öznur GÖLBAŞI

Pages : 1240-1247

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Publication Date : 2018-10-16

Article Type : Research Paper

Abstract :Let $R$ be a $\ast$-prime ring with characteristic not 2, $U$ be a nonzero $\ast$-$insert ignore into journalissuearticles values(\sigma,\tau);$- 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 $d^2insert ignore into journalissuearticles values(U);=insert ignore into journalissuearticles values(0);$, then $U\subset Z$.
Keywords : Derivations, sigma, au, Lie Ideals, ast prime rings, involution