Auslander theorem for PI Artin-Schelter regular algebras

TL;DR

This paper extends Auslander's theorem to finite group actions on noetherian PI Artin-Schelter regular algebras, providing a new understanding of their structure under symmetries.

Contribution

It establishes a version of Auslander's theorem specifically for finite group actions on PI Artin-Schelter regular algebras, a novel generalization.

Findings

Proves Auslander's theorem in the context of PI Artin-Schelter regular algebras.

Shows the structure of these algebras under finite group actions.

Provides foundational results for symmetry analysis in noncommutative algebra.

Abstract

We prove a version of a theorem of Auslander for finite group actions or coactions on noetherian polynomial identity Artin-Schelter regular algebra.