MELT right \(V\)-rings are von Neumann regular
type: Item
instance of: scholarly article
title: MELT right \(V\)-rings are von Neumann regular
zbMATH Open document ID: 0839.16010
author: Xianneng Du
author: Jule Zhang
published in: Chinese Science Bulletin
publication date: 1996-03-14T00:00:00Z
review text: The authors show that a ring in which (a) all right ideals are idempotent, and (b) every maximal essential left ideal is two-sided is von Neumann regular. This answers a question of \textit{R. Yue Chi Ming} [Ric. Mat. 33, 147-158 (1984; Zbl 0577.16011)].
reviewed by: Kenneth R. Goodearl
Mathematics Subject Classification ID: 16E50
Mathematics Subject Classification ID: 16D50
Mathematics Subject Classification ID: 16D25
zbMATH DE Number: 817784
zbMATH Keywords: von Neumann regular rings
zbMATH Keywords: MELT rings
zbMATH Keywords: \(V\)-rings
zbMATH Keywords: fully idempotent rings
zbMATH Keywords: idempotent right ideals
zbMATH Keywords: maximal essential left ideals
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 817784