On the completion of excellent rings in characteristic p\(>0\)
type: Item
instance of: scholarly article
title: On the completion of excellent rings in characteristic p\(>0\)
zbMATH Open document ID: 0588.13023
DOI: 10.1007/BF02848534
author: Gaetana Restuccia
publication date: 1983-01-01T00:00:00Z
review text: The paper deals with the following Grothendieck problem: If A is an excellent ring and \({\mathfrak m}\) an ideal of A, is the \({\mathfrak m}\)-adic completion of A an excellent ring ? The present author considers a case when A is an algebra of finite type over a local excellent ring C of characteristic p\(>0\) and dimension 1. It is shown that there is a positive answer for C complete or for C containing a field k of characteristic p\(>0\) and finite over \(k[C^ p]\).
Mathematics Subject Classification ID: 13J10
Mathematics Subject Classification ID: 13C13
zbMATH DE Number: 3943999
zbMATH Keywords: Grothendieck problem
zbMATH Keywords: adic completion
zbMATH Keywords: excellent ring
zbMATH Keywords: characteristic p
MaRDI profile type: Publication
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full work available at URL: https://doi.org/10.1007/bf02848534
OpenAlex ID: W2070790803
published in: Rendiconti del Circolo Matematico di Palermo
description: scientific article; zbMATH DE number 3943999