\(K_0\) of exchange rings with stable range 1
type: Item
instance of: scholarly article
title: \(K_0\) of exchange rings with stable range 1
zbMATH Open document ID: 1115.19002
author: Hourong Qin
author: Xinmin Lu
published in: Vietnam Journal of Mathematics
publication date: 2007-01-31T00:00:00Z
review text: The main result in this paper is an example that shows that the class of generalized abelian rings is a proper subclass of the class of weakly generalized abelian rings. Furthermore, it is shown that, for an exchange ring \(R\) with stable range 1, \(K_0(R)\) is an \(\ell\)-group if and only if \(R\) is a weakly generalized abelian ring.
reviewed by: Reinhard Laubenbacher
Mathematics Subject Classification ID: 19A49
Mathematics Subject Classification ID: 16E20
Mathematics Subject Classification ID: 06F15
zbMATH DE Number: 5120094
zbMATH Keywords: exchange ring
zbMATH Keywords: weakly generalized Abelian ring
zbMATH Keywords: stable range 1
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 5120094