论文标题
具有有限小组计划行动的领域模型理论
Model theory of fields with finite group scheme actions
论文作者
论文摘要
我们研究了具有固定有限组方案的作用的田野模型理论。我们证明了这种行动理论的模型伴侣的存在和简单性，该模型伴侣概括了我们先前有关截断的迭代式式式schmidt衍生物以及关于Galois动作的结果。作为我们方法的应用，我们获得了有限群体对有限缺陷程度领域的有限群体的作用的新模型完整理论。
We study model theory of fields with actions of a fixed finite group scheme. We prove the existence and simplicity of a model companion of the theory of such actions, which generalizes our previous results about truncated iterative Hasse-Schmidt derivations and about Galois actions. As an application of our methods, we obtain a new model complete theory of actions of a finite group on fields of finite imperfection degree.
