Unital topology on a unital \(l\)-group
type: Item
instance of: scholarly article
title: Unital topology on a unital \(l\)-group
zbMATH Open document ID: 1485.54040
author: Mohammad Ranjbar
author: Mahmood Pourgholamhossein
published in: Mathematica Slovaca
publication date: 2021-12-07T00:00:00Z
review text: In this paper, the authors mainly discuss some basic properties of the unital topology on a lattice ordered group with order unit. First, they give a characterization of a mass group; then they prove that for an Archimedean Riesz space \(G\) with order unit \(u\), the unital topology and the strong link topology are the same. Finally, they show that, for any unital \(l\)-group \(G\), if the sequentially order convergence and the unital topology convergence are identical then the order convergence is stable.
reviewed by: Fucai Lin
Mathematics Subject Classification ID: 54H11
Mathematics Subject Classification ID: 06F20
Mathematics Subject Classification ID: 03G10
Mathematics Subject Classification ID: 46A40
Mathematics Subject Classification ID: 46B42
Mathematics Subject Classification ID: 46B40
zbMATH DE Number: 7439838
zbMATH Keywords: lattice group
zbMATH Keywords: order unit
zbMATH Keywords: locally solid topology
zbMATH Keywords: norm topology
zbMATH Keywords: order convergence
zbMATH Keywords: link topology
zbMATH Keywords: stability of convergence.
MaRDI profile type: Publication
full work available at URL: ms-2017-0424
OpenAlex ID: W3090666095
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DOI: 10.1515/MS-2017-0424
description: scientific article; zbMATH DE number 7439838