MMN-476
A note on $(\sigma,\tau)$-derivations of rings with involution
Emine Koç; Öznur Gölbaşi;Abstract
Let $R$ be a $2$-¡torsion free simple *-ring and $D : R\rightarrow R$ be an
additive mapping satisfying $D(xx*) = D(x)\sigma(x*)+\tau(x)D(x*)$; for all $x\in R$.
Then $D$ is a $(\sigma; \tau)$-derivation of $R$ or $R$ is $S_{4}$ ring. Also, if $R$ is a $2$-torsion
free semiprime ring and $G : R \rightarrow R$ is an additive mapping related with some
$(\sigma; \tau)$-derivation $D$ of $R$ such that $G(xx*) = G(x)\sigma(x*) + \tau(x)D(x*)$; for all
$x \in R$, then $G$ is generalized $(\sigma; \tau)$-derivation of $R$.
Vol. 15 (2014), No. 2, pp. 559-569