Double short exact sequences and \(K_1\) of an exact category
type: Item
instance of: scholarly article
title: Double short exact sequences and \(K_1\) of an exact category
zbMATH Open document ID: 0901.19002
DOI: 10.1023/A:1007722523594
author: Alexander Nenashev
published in: \(K\)-Theory
publication date: 1998-05-26T00:00:00Z
review text: The author introduces a modification of the Bass group \(K_1^{\text{det}}\) in an exact category. The group is defined by generators and relations, in terms of double short exact sequences instead of automorphisms. In addition, the author establishes its relation to Quillen's \(K_1\)-group by dealing with loops in the \(G\)-construction.
reviewed by: Tong Wenting
Mathematics Subject Classification ID: 19B99
Mathematics Subject Classification ID: 18E10
Mathematics Subject Classification ID: 18F25
Mathematics Subject Classification ID: 19D99
zbMATH DE Number: 1156512
zbMATH Keywords: exact category
zbMATH Keywords: double short exact sequences
zbMATH Keywords: \(K_1\)-group
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1156512