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Filtered deformations of commutative algebras of Krull dimension two (2312.05149v1)
Published 8 Dec 2023 in math.RA and math.QA
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 an 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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