A functorial property of nested Witt vectors
type: Item
instance of: scholarly article
title: A functorial property of nested Witt vectors
zbMATH Open document ID: 1011.13013
DOI: 10.1016/S0021-8693(02)00017-0
author: Roland Auer
published in: Journal of Algebra
publication date: 2002-11-28T00:00:00Z
review text: In 1997, \textit{L. Roberts} [Queen's Pap. Pure Appl. Math. 105, 2-36 (1997)] published a paper on the ring of Witt vectors. The author of the paper under review points out that from the Roberts' paper one can extract the following result. Let \(p\) be a prime number, \(M=\{1,p,p^2,\dots\}\) and \(N\subset \mathbb{N}\) the set of natural numbers coprime to \(p.\) Then for any commutative algebra \(A\) there is a functorial isomorphism of rings of Witt vectors \(W_N(W_M(A))\cong W_N(A)\). The aim of the paper is to generalize this result to the case of any coprime truncation sets \(M,N\subset \mathbb{N}.\)
Mathematics Subject Classification ID: 13K05
Mathematics Subject Classification ID: 11E95
zbMATH DE Number: 1836709
zbMATH Keywords: Witt vectors
reviewed by: Andrzej Sładek
MaRDI profile type: Publication
cites work: Q4444127
cites work: Q4216261
cites work: Lectures on Curves on an Algebraic Surface. (AM-59)
cites work: A formula for constructing curves over finite fields with many rational points
description: scientific article; zbMATH DE number 1836709