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arXiv 1201.0134math.LO
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关于超单理论中的典范基和基于1的类型的注记

A note on canonical bases and one-based types in supersimple theories

Zoé Chatzidakis

摘要:

本文研究了CBP,这是由Pillay和Ziegler首先发现的模型理论性质。我们首先给出了典型基类型的一般分解结果,它可以看作是一种准素分解。这种分解然后被用来显示任何特征的存在闭差域有CBP。我们还得出的CBP的后果,并使用这些结果的应用程序的微分和差分品种,代数动力学。

英文摘要:

This paper studies the CBP, a model-theoretic property first discovered by Pillay and Ziegler. We first show a general decomposition result of types of canonical bases, which one can think of as a sort of primary decomposition. This decomposition is then used to show that existentially closed difference fields of any characteristic have the CBP. We also derive consequences of the CBP, and use these results for applications to differential and difference varieties, and algebraic dynamics.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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