Products of idempotent matrices over integral domains
type: Item
instance of: scholarly article
title: Products of idempotent matrices over integral domains
zbMATH Open document ID: 1165.15016
author: K. P. S. Bhaskara Rao
published in: Linear Algebra and its Applications
publication date: 2009-05-12T00:00:00Z
review text: A ring \(R\) has the idempotent matrices property (IMP) if every square singular matrix over \(R\) is a product of idempotent matrices. The author shows that not every integral domain has the IMP and that if a projective free ring has the IMP then it must be a Bézout domain. He also shows that a principal ideal domain has the IMP if and only if every fraction \(a/b\) with \(b\neq 0\) has a finite continued fraction expansion.
reviewed by: Andreas Arvanitoyeorgos
Mathematics Subject Classification ID: 15B33
Mathematics Subject Classification ID: 15A23
Mathematics Subject Classification ID: 13F07
Mathematics Subject Classification ID: 13F10
Mathematics Subject Classification ID: 11A55
zbMATH DE Number: 5552967
zbMATH Keywords: idempotent matrices property
zbMATH Keywords: Euclidean domain
zbMATH Keywords: Bézout domain
zbMATH Keywords: projective free ring
MaRDI profile type: Publication
full work available at URL: j.laa.2008.11.018
OpenAlex ID: W2119046189
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DOI: 10.1016/J.LAA.2008.11.018
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description: scientific article; zbMATH DE number 5552967