Witt vector rings and quotients of monoid algebras

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 \colon \mathbb{Z}R/I^n \xrightarrow{\sim} W_n(R...

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Bibliographic Details
Published inarXiv.org
Main Author Ghassemi-Tabar, Sina
Format Paper
LanguageEnglish
Published Ithaca Cornell University Library, arXiv.org 03.06.2016
Subjects
Colon
Isomorphism
Monoids
Quotients
Rings (mathematics)
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Summary: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 \(\alpha_n \colon \mathbb{Z}R/I^n \xrightarrow{\sim} W_n(R)\). In this paper we give explicit descriptions of the isomorphisms \(\alpha_n\) for \(n\geq 2\) if \(p\geq n\).
ISSN:2331-8422