Witt向量环与幺半群代数的等价环
Witt vector rings and quotients of monoid algebras
摘要：
在以前的文件Cuntz和Deninger介绍了环$C(R)$为一个完美的$\mathbb{F}_p$-代数$R$。环$C(R)$正则同构于$p$-典型的Witt环$W(R)$.事实上，存在规范同构$α_n \colon \mathbb{Z}R/I^n \xrightarrow{\sim} W_n(R)$。本文给出了当$p\geq n$为$n\geq 2$时的同构$α_n$的显式描述.
英文摘要：
In a previous paper Cuntz and Deninger introduced the ring $C(R)$ for a perfect $\mathbb{F}_p$-algebra $R$. The ring $C(R)$ is canonically isomorphic to the $p$-typical Witt ring $W(R)$. In fact there exist canonical isomorphisms $α_n \colon \mathbb{Z}R/I^n \xrightarrow{\sim} W_n(R)$. In this paper we give explicit descriptions of the isomorphisms $α_n$ for $n\geq 2$ if $p\geq n$.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
