论文标题
类型可定义的NIP字段是Artin-Schreier关闭的
Type-definable NIP fields are Artin-Schreier closed
论文作者
论文摘要
让$ k $成为nip理论中可定义的无限领域。如果$ k $具有特征性$ p> 0 $，则$ k $是Artin-Schreier关闭（它没有Artin-Schreier扩展名）。结果，$ p $不划分$ k $的任何有限可分离扩展的程度。这概括了Kaplan，Scanlon和Wagner的定理。
Let $K$ be a type-definable infinite field in an NIP theory. If $K$ has characteristic $p > 0$, then $K$ is Artin-Schreier closed (it has no Artin-Schreier extensions). As a consequence, $p$ does not divide the degree of any finite separable extension of $K$. This generalizes a theorem of Kaplan, Scanlon, and Wagner.
