On PP-rings
type: Item
instance of: scholarly article
title: On PP-rings
zbMATH Open document ID: 0797.16003
DOI: 10.1007/BF01876633
published in: Periodica Mathematica Hungarica
publication date: 1994-10-19T00:00:00Z
review text: A ring \(R\) is called a left PP-ring if every principal left ideal is projective. The author gives a new characterization of left PP-rings, uses that to give an elementary proof of a result of the reviewer [Kobe J. Math. 7, No. 1, 77-80 (1990; Zbl 0726.16003)] characterizing triangular PP-rings, and then determines when the ring \(T_ n(R)\) of upper triangular matrices over \(R\) is a left PP-ring.
Mathematics Subject Classification ID: 16D40
Mathematics Subject Classification ID: 16S50
Mathematics Subject Classification ID: 16D25
Mathematics Subject Classification ID: 16E50
Mathematics Subject Classification ID: 16E60
zbMATH DE Number: 558688
zbMATH Keywords: principal left ideal
zbMATH Keywords: left PP-rings
zbMATH Keywords: triangular PP-rings
zbMATH Keywords: upper triangular matrices
author: W. Keith Nicholson
reviewed by: Xue Weimin
MaRDI profile type: Publication
cites work: A Foundation of Torsion Theory for Modules Over General Rings
cites work: Sur les anneaux hereditaires ou semi-hereditaires
cites work: Q3348119
description: scientific article; zbMATH DE number 558688