Multirelative algebraic K-theory: The group \(K_ 2(\Lambda;I_ 1,\dots ,I_ n)\) and related computations
type: Item
instance of: scholarly article
title: Multirelative algebraic K-theory: The group \(K_ 2(\Lambda;I_ 1,\dots ,I_ n)\) and related computations
zbMATH Open document ID: 0632.18006
DOI: 10.1016/0021-8693(88)90090-7
published in: Journal of Algebra
publication date: 1988-01-01T00:00:00Z
review text: The author defines multirelative algebraic K-theory groups \(K_ i(\Lambda;I_ 1,...,I_ n)\) for \(I_ 1,...,I_ n\) two-sided ideals of a ring \(\Lambda\). He also computes \(K_ 2(\Lambda;I_ 1,...,I_ n)\) when \(I_ 1\cap...\cap I_ n=0\) and in some cases when \(\Lambda\) is commutative and \(I_ 1\cap...\cap I_ n\) is a radical ideal. As an application he computes \(K_ 2(R[x_ 1...x_ n]/(x_ 1...x_ n))\) when R is a regular ring. The results are based on work of \textit{R. Brown} and \textit{J.-L. Loday} [Topology 26, 311-335 (1987; Zbl 0622.55009)].
Mathematics Subject Classification ID: 18F25
zbMATH DE Number: 4027726
zbMATH Keywords: multirelative algebraic K-theory groups
zbMATH Keywords: radical ideal
author: Graham Ellis
reviewed by: Richard John Steiner
MaRDI profile type: Publication
full work available at URL: 0021-8693(88)90090-7
OpenAlex ID: W2046027243
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description: scientific article; zbMATH DE number 4027726