标题： 关于超简单理论中规范基和一基类型的一篇注记 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，这是一个由Pillay和Ziegler首次发现的模型论性质。我们首先展示了一个关于规范基类型的通用分解结果，可以将其视为一种主分解。然后利用此分解证明了任何特征的可闭差分域都具有CBP。我们还推导了CBP的后果，并利用这些结果应用于微分和差分代数簇以及代数动力学。 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.