A note on canonical bases and one-based types in supersimple theories
A note on canonical bases and one-based types in supersimple theories
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关于超简单理论中的规范基和一基类型的注释
DOI：
10.1142/s1793744212500041
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发表时间：
2011
期刊：
影响因子：
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通讯作者：
Z. Chatzidakis
中科院分区：
文献类型：
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作者：
Z. Chatzidakis
本文研究了CBP，这是Pillay和齐格勒首先发现的模型论性质。我们首先给出典型基类型的一般分解结果，可以认为这是一种准素分解。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。
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.