Stable ranges for Morita contexts
type: Item
instance of: scholarly article
title: Stable ranges for Morita contexts
zbMATH Open document ID: 0999.16005
author: Huanyin Chen
published in: Southeast Asian Bulletin of Mathematics
publication date: 2002-05-30T00:00:00Z
review text: Recall that \(R\) is an \((s,2)\)-ring provided that every element of \(R\) is the sum of two units. The author shows that if \(A\) and \(B\) are \((s,2)\)-rings, then so is the ring of a Morita context \((A,B,M,N,\varphi,\psi)\), where \(M\) is a \(B\)-\(A\)-bimodule, \(N\) is an \(A\)-\(B\)-bimodule, \(\varphi\colon M\otimes_AN\to B\) and \(\psi\colon N\otimes_BM\to A\) are a pair of bimodule homomorphisms. In addition, some analogous results for unit 1-stable ranges and GM-rings, and some new classes of rings satisfying such stable range conditions are obtained.
reviewed by: Tong Wenting
Mathematics Subject Classification ID: 16D70
Mathematics Subject Classification ID: 16U60
Mathematics Subject Classification ID: 19B10
Mathematics Subject Classification ID: 16D90
Mathematics Subject Classification ID: 16D20
Mathematics Subject Classification ID: 16E50
zbMATH DE Number: 1747991
zbMATH Keywords: sums of units
zbMATH Keywords: Morita contexts
zbMATH Keywords: bimodules
zbMATH Keywords: unit 1-stable ranges
zbMATH Keywords: GM-rings
zbMATH Keywords: stable range conditions
MaRDI profile type: Publication
full work available at URL: s10012-001-0209-8
OpenAlex ID: W2075374007
DOI: 10.1007/S10012-001-0209-8
description: scientific article; zbMATH DE number 1747991