Semiprime semiperfect rings in which each right ideal has two generators
type: Item
instance of: scholarly article
title: Semiprime semiperfect rings in which each right ideal has two generators
zbMATH Open document ID: 0531.16014
DOI: 10.1007/BF01061638
author: Kh. Danlyev
published in: Ukrainian Mathematical Journal
publication date: 1983-01-01T00:00:00Z
review text: If A is an associative ring with 1 which is right noetherian, and I is a right ideal of A, denote by \(\mu\) (I) the minimal number of generators of I. Denote also \(\mu^*(A)=\sup \{\mu(I)| I\quad is\quad a\quad right\quad ideal\quad of\quad A\}.\) The aim of this paper is to describe the two-sided noetherian semiprime semiperfect rings A for which \(\mu^*(A)\leq 2\).
Mathematics Subject Classification ID: 16D70
Mathematics Subject Classification ID: 16Dxx
Mathematics Subject Classification ID: 16P40
Mathematics Subject Classification ID: 16L30
zbMATH DE Number: 3842078
zbMATH Keywords: minimal number of generators
zbMATH Keywords: noetherian semiprime semiperfect rings
reviewed by: Toma Albu
MaRDI profile type: Publication
cites work: Q5682108
cites work: Q4093610
cites work: On the Dimension of Modules and Algebras (III): Global Dimension
cites work: Hereditary Noetherian prime rings
description: scientific article; zbMATH DE number 3842078