标题： 关于超简单理论中的典范基和单类的一个注记 显示英文标题

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

摘要： 本文研究了CBP（一种由Pillay和Ziegler首次发现的模型论性质）。我们首先展示了典型基类型的通用分解结果，可以将其视为某种主要分解。然后利用这一分解结果证明了任意特征的存在闭差分域具有CBP性质。我们还推导出CBP的一些结论，并用这些结果应用于微分与差分簇以及代数动力学。 显示英文摘要

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.