关于差异闭包不存在的注释

Simul. Model. Pract. Theory Pub Date : 2023-10-21 DOI:10.2140/mt.2023.2.405

Zoé Chatzidakis

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引用次数: 1

摘要

本文表明，一般情况下，差分场不存在差分闭包。然而，我们引入了一个更强的闭包概念(kappa闭包)，并证明了每一个特征为0的代数闭差分场K，在满足一定自然条件的固定场下，都有一个闭包，并且这个闭包在K上同构之前是唯一的。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Remarks around the nonexistence of difference closure

This paper shows that in general, difference fields do not have a difference closure. However, we introduce a stronger notion of closure (kappa-closure), and show that every algebraically closed difference field K of characteristic 0, with fixed field satisfying a certain natural condition, has a closure, and this closure is unique up to isomorphism over K.

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Simul. Model. Pract. Theory

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