Generalized Mayer-Vietoris sequences in algebraic K-theory
type: Item
instance of: scholarly article
title: Generalized Mayer-Vietoris sequences in algebraic K-theory
zbMATH Open document ID: 0646.18006
DOI: 10.1016/0022-4049(88)90087-4
author: Reinhard Laubenbacher
published in: Journal of Pure and Applied Algebra
publication date: 1988-01-01T00:00:00Z
review text: This paper is concerned with the algebraic K-theory of Dedekind-like rings. These are multiple pull-backs of Dedekind domains of a particular kind. The main theorem is that under suitable conditions there are generalised Mayer-Vietoris sequences; they are called ``generalised'' because they involve birelative groups. There are applications to group rings of cyclic groups, to certain subrings of \({\mathbb{Z}}\times {\mathbb{Z}}\), to rings of the form \({\mathbb{Z}}[\sqrt{m}]\), and to the coordinate ring of n lines in the plane.
Mathematics Subject Classification ID: 18F25
Mathematics Subject Classification ID: 13F05
zbMATH DE Number: 4053876
zbMATH Keywords: algebraic K-theory of Dedekind-like rings
zbMATH Keywords: multiple pull-backs of Dedekind domains
zbMATH Keywords: generalised Mayer-Vietoris sequences
zbMATH Keywords: group rings of cyclic groups
reviewed by: Richard John Steiner
MaRDI profile type: Publication
full work available at URL: 0022-4049(88)90087-4
OpenAlex ID: W2052625516
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description: scientific article; zbMATH DE number 4053876