积分域的小嵌入

IF 0.5 4区数学 Q3 MATHEMATICS Kyoto Journal of Mathematics Pub Date : 2019-09-01 DOI:10.1215/21562261-2019-0022

Yuanyuan Bao, D. Daigle

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引用次数: 0

摘要

设A是域k上的一个几何积分代数。证明对任意仿射k域R，若存在k的可拓域k使R≥k且R * k，则存在k的可拓域L使R≥R，且R≥R。这推广了Freudenburg的一个结果，即对于a = k，这是成立的。

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Small embeddings of integral domains

Let A be a geometrically integral algebra over a field k. We prove that for any affine k-domain R, if there exists an extension field K of k such that R ⊆ K ⊗k A and R * K, then there exists an extension field L of k such that R ⊆ L ⊗k A and trdegk(L) < trdegk(R). This generalizes a result of Freudenburg, namely, the fact that this is true for A = k.

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来源期刊

Kyoto Journal of Mathematics MATHEMATICS-

CiteScore

1.10

自引率

16.70%

发文量

审稿时长

>12 weeks

期刊介绍： The Kyoto Journal of Mathematics publishes original research papers at the forefront of pure mathematics, including surveys that contribute to advances in pure mathematics.

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