A characterization of skew $b$-derivations in prime rings

Abstract

Let $R$ be a prime ring, $\alpha$ an automorphism of $R$ and $b$ an element of $Q$, the maximal right ring of quotients of $R$. The main purpose of this paper is to characterize skew $b$-derivations in prime rings which satisfy various differential identities. Further, we provide an example to show that the assumed restrictions cannot be relaxed.

Keywords

• automorphism
• derivation
• skew $b$-derivation
• skew derivation
• prime ring