When skew polynomial rings are right duo

If $R$ is a ring and $\sigma$ is a ring endomorphism of $R$, the skew polynomial ring $R[x;\sigma]$ is right duo (or left duo) only when it is commutative (i.e. $R$ is commutative and $\sigma$ is the identity.)


  • G. Marks. Duo rings and Ore extensions. (2004) @ Theorem 1 p 464