Linear equivalence of ideal topologies
type: Item
instance of: scholarly article
title: Linear equivalence of ideal topologies
zbMATH Open document ID: 1010.13015
author: Irena Swanson
published in: Mathematische Zeitschrift
publication date: 2000-11-13T00:00:00Z
review text: Let \(P\) be a prime ideal in a commutative Noetherian ring \(R\). The main result of the paper is the following: If the \(P\)-adic and \(P\)-symbolic topologies on \(R\) are equivalent, then the two topologies are linearly equivalent. In the proof a main tool is the reduction to the hypersurface case. The paper ends with explicit calculations of linear equivalence.
reviewed by: Dieter Remus
Mathematics Subject Classification ID: 13J20
Mathematics Subject Classification ID: 14J17
Mathematics Subject Classification ID: 54A10
zbMATH DE Number: 1515380
zbMATH Keywords: linear equivalence of topologies
zbMATH Keywords: hypersurface
zbMATH Keywords: Noetherian ring
zbMATH Keywords: ideal topology
MaRDI profile type: Publication
DOI: 10.1007/S002090000102
Recommended article: On linearly equivalent ideal topologies
Recommended article: Q4019671
Recommended article: Ideal topologies and corresponding approximation properties
Recommended article: Linear morphisms in a topos
Recommended article: On the equivalence of linear sets
Recommended article: Linear equivalence of (pseudo) compact spaces
Recommended article: On the existence of a finest equivalent linear topology
Recommended article: Q5757059
Recommended article: Q5868846
Recommended article: A note on linear topologies
description: scientific article; zbMATH DE number 1515380