Torsion theories over N-rings
type: Item
instance of: scholarly article
title: Torsion theories over N-rings
zbMATH Open document ID: 0689.13007
author: Jiangang Luo
published in: Chinese Annals of Mathematics. Series B
publication date: 1989-01-01T00:00:00Z
review text: Recall that a commutative ring R with identity is called N-ring if for every ideal I of R there exists a unitary noetherian overring T of R such that \(IT\cap R=I.\) In the first part the author extends the characterization of idempotent filters of ideals of commutative noetherian rings to N-rings and shows that N-rings are semi-noetherian and stable (in the torsion-theoretical sense). The second paragraph is devoted to Krull and Gabriel dimensions of N-rings and the last one studies the properties of subrings fixed by finite automorphism groups of R of orders invertible in R.
reviewed by: Ladislav Bican
Mathematics Subject Classification ID: 13D30
Mathematics Subject Classification ID: 13C15
Mathematics Subject Classification ID: 16P60
zbMATH DE Number: 4128956
zbMATH Keywords: idempotent filter
zbMATH Keywords: Krull dimension
zbMATH Keywords: N-ring
zbMATH Keywords: Gabriel dimensions
zbMATH Keywords: finite automorphism groups
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 4128956