Erratum: Correction to `Relative Milnor \(K\)-theory'
type: Item
instance of: scholarly article
title: Erratum: Correction to `Relative Milnor \(K\)-theory'
zbMATH Open document ID: 0836.19003
DOI: 10.1007/BF00961281
published in: \(K\)-Theory
publication date: 1996-04-28T00:00:00Z
review text: Recently, \textit{S. Bloch} pointed out an error in ``Relative Milnor \(K\)- theory'' [ibid. 6, No. 2, 113-175 (1992; Zbl 0780.19005)], which it is the purpose of this note to correct. The error occurred in the proof of Theorem 4.5, in which it was claimed that, under certain hypotheses, the \(n\)-fold double \(D_{R; I_1, \dots, I_n}\) is a \(K_1\)-regular ring. We now give a correct proof of this fact, under slightly different hypotheses than those originally stated.
Mathematics Subject Classification ID: 19D45
Mathematics Subject Classification ID: 19E20
Mathematics Subject Classification ID: 14C35
Mathematics Subject Classification ID: 13H05
zbMATH DE Number: 827888
zbMATH Keywords: relative Milnor \(K\)-theory
zbMATH Keywords: semilocal rings
zbMATH Keywords: generalized Kato conjecture
zbMATH Keywords: Quillen-Lichtenbaum conjecture
zbMATH Keywords: \(K_ 1\)-regular ring
author: Marc Levine
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1007/bf00961281
OpenAlex ID: W2001724915
description: scientific article; zbMATH DE number 827888