Abstract
Let A be a Koszul Artin-Schelter regular algebra, σ a graded automorphism of A and δ a degree-one σ-derivation of A. We introduce an invariant for δ called the σ-divergence of δ. We describe the Nakayama automorphism of the graded Ore extension B=A[z;σ,δ] explicitly using the σ-divergence of δ, and construct a twisted superpotential ωˆ for B so that it is a derivation quotient algebra defined by ωˆ. We also determine all graded Ore extensions of noetherian Artin-Schelter regular algebras of dimension 2 and compute their Nakayama automorphisms.
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