Twisted Calabi-Yau property of Ore extensions

Abstract

Suppose that $E=A[x;\sigma ,\delta ]$ is an Ore extension with $\sigma$ an automorphism. It is proved that if $A$ is twisted Calabi-Yau of dimension $d$, then $E$ is twisted Calabi-Yau of dimension $d+1$. The relation between their Nakayama automorphisms is also studied. As an application, the Nakayama automorphisms of a class of 5-dimensional Artin-Schelter regular algebras are given explicitly.

References in corpus (1)

• Calabi-Yau algebras