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arXiv · 1601.04625

Zariski Cancellation Problem for Noncommutative Algebras

Jason Bell·James J. Zhang
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Abstract

A noncommutative analogue of the Zariski cancellation problem asks whether $A[x]\cong B[x]$ implies $A\cong B$ when $A$ and $B$ are noncommutative algebras. We resolve this affirmatively in the case when $A$ is a noncommutative finitely generated domain over the complex field of Gelfand-Kirillov dimension two. In addition, we resolve the Zariski cancellation problem for several classes of Artin-Schelter regular algebras of higher Gelfand-Kirillov dimension.

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Jason Bell, James J. Zhang. 2016-01-18. Zariski Cancellation Problem for Noncommutative Algebras. https://arxiv.org/abs/1601.04625

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