论文标题
关于Breuil-kisin模块的烦恼和投影性
On the freeness and projectiveness of Breuil-Kisin module
论文作者
论文摘要
在这项工作中，我们考虑了witt vectors $ w（κ）$的breuil-kisin模块在残留场$κ$上的特征$ p $和有限的flat $ \ mathbb {z} _p $ -algebra $ r $。然后被认为是Breuil-kisin模块$ m $上的环$ W（κ）$，并采取了$ r $在$ W（κ）$上的动作，我们再次获得了Breuil-kisin Module $ m $ $ m $ $ r \ otimes _ {\ otimes _ {\ Mathbb {z} _p} _p} _p} w（κ）$。我们研究了该模块的烦恼和投影性。
In the work we have considered Breuil-Kisin module over the ring of witt vectors $W(κ)$ over the residue field $κ$ of characteristic $p$ and a finite flat $\mathbb{Z}_p$-algebra $R$. Then considered Breuil-Kisin modules $M$ over the ring $W(κ)$ and taking the action of $R$ on $W(κ)$, we get again a Breuil-Kisin module $M$ over the ring $R \otimes_{\mathbb{Z}_p} W(κ)$. We have studied freeness and projectiveness of this module.
