Mohd Arif Raza, Nadeem ur Rehman, Shuliang Huang
On skew derivations as homomorphisms or anti-homomorphisms

Abstract:Let $R$ be a prime ring with center $Z$ and $I$ be a nonzero ideal of $R$. In this manuscript, we investigate the action of skew derivation $(\delta,\varphi)$ of $R$ which acts as a homomorphism or an anti-homomorphism on $I$. Moreover, we provide an example for semiprime case.

Keywords: skew derivation; generalized polynomial identity (GPI); prime ring; ideal

DOI: DOI 10.14712/1213-7243.2015.157
AMS Subject Classification: 16W25 16N60 16R50