Witt vector rings and quotients of monoid algebras

Abstract

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 ${\alpha }_n:\mathbb{Z}R/I^n\stackrel{\sim }{\to }{W}_n(R)$. In this paper we give explicit descriptions of the isomorphisms ${\alpha }_n$ for $n\ge 2$ if $p\ge n$.

6 pages

References in corpus (3)

• The Theory of Witt Vectors
• Witt vectors. Part 1
• An alternative to Witt vectors