The complete sublattice of the lattice of convex \(l\)-subgroups of an \(l\)-group that is generated by its polar subgroups
type: Item
instance of: scholarly article
title: The complete sublattice of the lattice of convex \(l\)-subgroups of an \(l\)-group that is generated by its polar subgroups
zbMATH Open document ID: 0902.06031
author: Z. Xiqiang
author: Q. Zhinan
published in: Algebra Universalis
publication date: 1998-11-23T00:00:00Z
review text: If \(G\) is a lattice-ordered group (an \(l\)-group), denote by \(N(G)\) the complete sublattice of the lattice of convex \(l\)-subgroups of \(G\) generated by the set of polars in \(G\). The elements of \(N(G)\) are called \(N\)-subgroups of \(G\). The authors study properties of \(l\)-groups determined by their \(N\)-subgroups and characterize some classes of \(l\)-groups (for example the class of projectable \(l\)-groups) by means of their lattices of \(N\)-groups.
Mathematics Subject Classification ID: 06F15
zbMATH DE Number: 1226210
zbMATH Keywords: lattice-ordered group
zbMATH Keywords: convex \(l\)-subgroup
zbMATH Keywords: regular subgroup
zbMATH Keywords: polar
zbMATH Keywords: \(N\)-subgroup
reviewed by: Jiří Rachůnek
MaRDI profile type: Publication
full work available at URL: s000120050023
OpenAlex ID: W2013169346
DOI: 10.1007/S000120050023
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description: scientific article; zbMATH DE number 1226210