Abstract
Let F be an algebraically closed field of positive characteristic and let R be a finitely generated F-algebra with a filtration with the property that the associated graded ring of R is a finitely generated integral domain of Krull dimension two. We show that under these conditions R satisfies a polynomial identity, answering a question of Etingof in the affirmative in a special case.
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Acknowledgements
We thank Pavel Etingof for helpful discussions and thank the anonymous referee for many helpful comments and suggestions. The author was supported in part by NSERC Grant RGPIN-2022-02951.
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Bell, J.P. Filtered deformations of commutative algebras of Krull dimension two. Math. Z. 307, 27 (2024). https://doi.org/10.1007/s00209-024-03507-7
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DOI: https://doi.org/10.1007/s00209-024-03507-7