Topologies de corps A linéaires
type: Item
instance of: scholarly article
title: Topologies de corps A linéaires
zbMATH Open document ID: 0551.13012
author: Driss Abouabdilla
published in: Pacific Journal of Mathematics
publication date: 1983-01-01T00:00:00Z
review text: For every prime ideal P of an integral domain A the P-adic topology of the field of quotients K of A means the topology in which the system of nonzero A-submodules of K forms a basis of neighbourhoods of zero of K. A ring A is called topological Prüfer if every P-adic topology on A is a valuation one. The paper deals with such rings. Particularly sufficient conditions are found for a topological Prüfer ring to satisfy the upper bound property, i.e. every field A-linear topology on K has as upper bound the family of P-adic topologies, where P is a prime ideal of A. \(\{\) Joint review with P. Kirku\(\}\).
reviewed by: Vladimir Arnautov
Mathematics Subject Classification ID: 13J20
Mathematics Subject Classification ID: 13G05
zbMATH DE Number: 3877331
zbMATH Keywords: integral domain
zbMATH Keywords: P-adic topology
MaRDI profile type: Publication
full work available at URL: pjm.1983.107.257
OpenAlex ID: W2016179760
Wikidata QID: Q56036311
DOI: 10.2140/PJM.1983.107.257
description: scientific article; zbMATH DE number 3877331