论文标题
田间的通用乘法性内态
Generic multiplicative endomorphism of a field
论文作者
论文摘要
我们介绍了由乘法映射的一单函数扩展的田间理论的模型兼容性，我们称之为ACFH。除其他外，我们证明该理论是NSOP $ _1 $而不是简单，地图的内核是一个通用的伪限制Abelian组。我们还证明，如果分叉满足存在，那么ACFH就会消除想象力。
We introduce the model-companion of the theory of fields expanded by a unary function for a multiplicative map, which we call ACFH. Among others, we prove that this theory is NSOP$_1$ and not simple, that the kernel of the map is a generic pseudo-finite abelian group. We also prove that if forking satisfies existence, then ACFH has elimination of imaginaries.
