Nakayama automorphisms of graded double Ore extensions of Koszul Artin-Schelter regular algebras with nontrivial skew derivations

Yan Cao, Yuan Shen, Xin Wang

Let $A$ be a Koszul Artin-Schelter regular algebra and $B=A_P[y_1,y_2;\ddot{I}‚,\hat{I}½]$ be a graded double Ore extension of $A$ where $\ddot{I}‚:A\to M_{2\times 2}(A)$ is a graded algebra homomorph…