On JB-rings.
type: Item
instance of: scholarly article
title: On JB-rings.
zbMATH Open document ID: 1143.16014
author: Huanyin Chen
published in: Chinese Annals of Mathematics. Series B
publication date: 2008-05-20T00:00:00Z
review text: The author defines a JB-ring as a ring \(R\) for which \(R/J(R)\) is a QB-ring in the sense of \textit{P. Ara, G. K. Pedersen}, and \textit{F. Perera} [J. Algebra 230, No. 2, 608-655 (2000; Zbl 0963.16008)], where \(J(R)\) is the Jacobson radical of \(R\). Various necessary and sufficient conditions are established, and passage of the JB property to endomorphism rings of finitely generated projective modules, finite subdirect products, and power series rings is proved.
Mathematics Subject Classification ID: 16E50
Mathematics Subject Classification ID: 19B10
Mathematics Subject Classification ID: 16E20
Mathematics Subject Classification ID: 16U60
zbMATH DE Number: 5277415
zbMATH Keywords: JB-rings
zbMATH Keywords: QB-rings
zbMATH Keywords: exchange rings
zbMATH Keywords: subdirect products
zbMATH Keywords: quasi-invertible elements
zbMATH Keywords: units
reviewed by: Kenneth R. Goodearl
MaRDI profile type: Publication
full work available at URL: s11401-007-0208-x
OpenAlex ID: W2046902043
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DOI: 10.1007/S11401-007-0208-X
description: scientific article; zbMATH DE number 5277415