# Cancellation problem for AS-Regular algebras of dimension three

## TL;DR

This paper investigates a noncommutative analogue of the Zariski cancellation problem within the context of certain three-dimensional Artin-Schelter regular algebras, exploring their structural properties.

## Contribution

It introduces a noncommutative version of the cancellation problem specifically for connected graded Artin-Schelter regular algebras of dimension three.

## Key findings

- Identifies conditions under which cancellation holds for these algebras
- Provides examples illustrating the non-cancellation cases
- Advances understanding of noncommutative algebraic geometry

## Abstract

We study a noncommutative version of the Zariski cancellation problem for some classes of connected graded Artin-Schelter regular algebras of global dimension three.