The localization sequence in \(K\)-theory
type: Item
instance of: scholarly article
title: The localization sequence in \(K\)-theory
zbMATH Open document ID: 0837.19002
DOI: 10.1007/BF00998131
author: A. J. Berrick
author: M. E. Keating
published in: \(K\)-Theory
publication date: 1996-05-14T00:00:00Z
review text: The localization of a ring with respect to a right denominator set of non-zero divisors is shown to induce an exact localization sequence. This 5-term sequence involves the groups \(K_0\) and \(K_1\) of the rings, as well as \(K_0\) of a category of finitely presented torsion modules of projective dimension one. The central localization case had been previously worked out by \textit{Bass}.
Mathematics Subject Classification ID: 19A49
zbMATH DE Number: 827894
zbMATH Keywords: 5-term exact localization sequence
zbMATH Keywords: \(K_ 0\)
zbMATH Keywords: \(K_ 1\)
zbMATH Keywords: finitely presented torsion modules of projective dimension one
reviewed by: L. N. Vaserstein
MaRDI profile type: Publication
cites work: Q4085905
cites work: Q3726317
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cites work: Localization for flat modules in algebraic K-theory
cites work: K-theory and localization of noncommutative rings
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full work available at URL: https://doi.org/10.1007/bf00998131
OpenAlex ID: W2037084832
description: scientific article; zbMATH DE number 827894