克鲁尔维度二的交换代数的过滤变形

IF 1 3区数学 Q1 MATHEMATICS

Mathematische Zeitschrift Pub Date : 2024-05-08 DOI:10.1007/s00209-024-03507-7

Jason P. Bell

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引用次数: 0

摘要

让 F 是正特征的代数闭域，让 R 是有限生成的 F 代数，其滤过性质是 R 的相关分级环是克鲁尔维度二的有限生成积分域。我们证明了在这些条件下 R 满足多项式同一性，从而在一个特例中肯定地回答了 Etingof 的一个问题。

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Filtered deformations of commutative algebras of Krull dimension two

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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