论文标题
ACVF的最小减少
Strongly minimal reducts of ACVF
论文作者
论文摘要
令$ \ mathbb k =（k，+，\ cdot，v，γ）$成为一个有价值的代数封闭特征的代数封闭字段，$（g，\ oplus）$为$ \ mathcal k $ - $ - k $ - 可诠释的群体，是本地属于本地异构性的to to $（k，+）$（k，+）$（k，+）$（k，k，k，k，cdot）$。然后，如果$ \ mathcal g =（g，\ oplus，\ ldots）$是在$ \ mathbb k $中易于固定的最小非本地模块化结构，则可以解释一个字段。我们还提出了证明相同的策略，而没有假设具有可定义的组操作。
Let $\mathbb K=(K,+,\cdot,v,Γ)$ be a valued algebraically closed field of characteristic and $(G,\oplus)$ be a $\mathcal K$-interpretable group that is either locally isomorphic to $(K,+)$ or to $(K,\cdot)$. Then if $\mathcal G=(G,\oplus,\ldots)$ is a strongly minimal non locally modular structure intepretable in $\mathbb K$, it interprets a field. We also present an strategy for proving the same without the assumption of having a definable group operation.
