Characterizations of almost QF rings
type: Item
instance of: scholarly article
title: Characterizations of almost QF rings
zbMATH Open document ID: 0923.16004
author: Shojiro Tozaki
published in: Osaka Journal of Mathematics
publication date: 1999-08-25T00:00:00Z
review text: The author reproves some characterizations of almost QF rings (as defined by \textit{M. Harada} [Osaka J. Math. 30, No. 4, 887-892 (1993; Zbl 0807.16003)]) from his 1995 master thesis at Osaka City University. As a sample of the results, here is Theorem 5: If \(R\) is right Artinian, then \(R\) is almost QF if and only if for each primitive idempotent \(e\) of \(R\), every essential extension of \(eR\) has a unique maximal submodule if and only if for each such \(e\), \(eR\) is a waist in its injective envelope \(E(eR)\) and \(E(eR)/eR\) is uniserial.
Mathematics Subject Classification ID: 16D50
Mathematics Subject Classification ID: 16P20
Mathematics Subject Classification ID: 16L60
zbMATH DE Number: 1270309
zbMATH Keywords: almost QF rings
zbMATH Keywords: right Artinian rings
zbMATH Keywords: primitive idempotents
zbMATH Keywords: maximal submodules
zbMATH Keywords: uniserial modules
reviewed by: William H. Gustafson
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1270309