Right Serial Skew Laurent Series Rings

Abstract

Let $A$ be a ring and $\phi$ its automorphism. It is proved that skew Laurent series ring $A((x,\phi ))$ is a right serial ring if and only if $A$ is a right serial right Artinian ring.

The paper will be published in Journal of Algebra and Its Applications. The study is supported by Russian Scientific Foundation (project 16-11-10013)