2020/07/20 by Y. Shen, Yang Guo, Shen, Y. +1 · 1 citation
Mathematics · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Rings and Algebras (math.RA)
paper · pdf · doi:10.48550/arxiv.2007.10197
openalex publication_date 2020/07/20 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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 ω for B so that it is a derivation quotient algebra defined by ω. We also determine all graded Ore extensions of noetherian Artin-Schelter regular algebras of dimension 2 and compute their Nakayama automorphisms.