Abstract:
Given a prime ring $R$, a skew $g$-derivation for $g\colon R\to R$ is an additive map $f\colon R\to R$ such that $f(xy)=f(x)g(y)+xf(y)=f(x)y+g(x)f(y)$ and $f(g(x))=g(f(x0)$ for all $x,y\in R$. We generalize some properties of prime rings with derivations to the class of prime rings with skew derivations.
Keywords:skew derivation, prime ring, Jordan derivation.
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