Completely semiprime and Abelian regular ideals of a ring
type: Item
instance of: scholarly article
title: Completely semiprime and Abelian regular ideals of a ring
zbMATH Open document ID: 0603.16029
DOI: 10.1007/BF01170242
author: A. V. Andrunakievich
author: V. A. Andrunakievich
published in: Mathematical Notes
publication date: 1986-01-01T00:00:00Z
review text: It is proved that if T is a maximal completely semiprime right ideal of an associative ring R then T is a two-sided ideal and R/T is a skew field. Every strongly Neumann right ideal is representable as an intersection of maximal modular right ideals, which contain it. It is shown a criterion for a ring R to be represented as a subdirect product of skew fields.
Mathematics Subject Classification ID: 16Dxx
Mathematics Subject Classification ID: 16E50
Mathematics Subject Classification ID: 16Kxx
Mathematics Subject Classification ID: 16D70
zbMATH DE Number: 3973096
zbMATH Keywords: maximal completely semiprime right ideal
zbMATH Keywords: strongly Neumann right ideal
zbMATH Keywords: intersection of maximal modular right ideals
zbMATH Keywords: subdirect product of skew fields
MaRDI profile type: Publication
cites work: Quelques Caractérisations Du Radical D′un Anneau
cites work: Q4744417
cites work: Q3969078
description: scientific article; zbMATH DE number 3973096