Witt vector rings and quotients of monoid algebras

2016/06/01 by Sina Ghassemi-Tabar, Ghassemi-Tabar, Sina
Mathematics · #Rings, Modules, and Algebras #Advanced Topics in Algebra #Commutative Algebra and Its Applications

paper · pdf · doi:10.48550/arxiv.1606.00482

Abstract

In a previous paper Cuntz and Deninger introduced the ring C(R) for a perfect \mathbbF_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 ℤR/Iⁿ \xrightarrow∼ W_n(R). In this paper we give explicit descriptions of the isomorphisms α_n for n≥ 2 if p≥ n.

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