On topological MV-algebras and topological \(\ell \)-groups
type: Item
instance of: scholarly article
title: On topological MV-algebras and topological \(\ell \)-groups
zbMATH Open document ID: 1269.54032
author: Hans Weber
published in: Topology and its Applications
publication date: 2012-10-11T00:00:00Z
review text: From the summary: A representation theorem for complete MV-algebras endowed with a Hausdorff order continuous locally convex topology which admits a 0-neighborhood basis consisting of sublattices is proved, and from this a representation theorem is deduced for Hausdorff order continuous locally solid Dedekind complete \(\ell\)-groups with a 0-neighborhood basis consisting of sublattices.
reviewed by: Dexue Zhang
Mathematics Subject Classification ID: 54H99
Mathematics Subject Classification ID: 22A30
Mathematics Subject Classification ID: 28B10
Mathematics Subject Classification ID: 06D35
zbMATH DE Number: 6092984
zbMATH Keywords: topological MV-algebras
zbMATH Keywords: locally solid \(\ell\)-groups
zbMATH Keywords: measures
MaRDI profile type: Publication
full work available at URL: j.topol.2012.08.004
OpenAlex ID: W2039065631
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DOI: 10.1016/J.TOPOL.2012.08.004
description: scientific article; zbMATH DE number 6092984