Hulls for various kinds of \(\alpha\)-completeness in Archimedean lattice-ordered groups
type: Item
instance of: scholarly article
title: Hulls for various kinds of \(\alpha\)-completeness in Archimedean lattice-ordered groups
zbMATH Open document ID: 0953.06017
DOI: 10.1023/A:1006323031986
author: Anthony W. Hager
author: Jorge Martinez
published in: Order
publication date: 2000-11-23T00:00:00Z
review text: Within Archimedean \(l\)-groups, and with \(\alpha\) an infinite cardinal or \(\infty\), the authors consider \(\mathbb X\)-hulls where \(\mathbb X\) stands for any of the following classes of \(l\)-groups: laterally \(\alpha\)-complete; boundedly laterally \(\alpha\)-complete, conditionally \(\alpha\)-complete; combinations of the preceding, together with divisibility and/or relative uniform completeness. All these hulls exist, and may be obtained by iterated adjunction of required extra elements, within the essential hull. A lot of results on these hull operators are established.
Mathematics Subject Classification ID: 06F20
Mathematics Subject Classification ID: 06F15
zbMATH DE Number: 1423855
zbMATH Keywords: archimedean \(l\)-group
zbMATH Keywords: hull of \(l\)-group
zbMATH Keywords: \(\alpha\)-complete \(l\)-group
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1423855