Archimedean Closed Lattice-Ordered Groups

Loading...
Thumbnail Image
Date
2004-06
Journal Title
Journal ISSN
Volume Title
Publisher
Rocky Mountain Mathematics Consortium
Abstract
We show that, if an abelian lattice-ordered group is archimedean closed, then each principal l-ideal is also archimedean closed. This has given a positive answer to the question raised in 1965 and hence proved that the class of abelian archimedean closed lattice-ordered groups is a radical class. We also provide some conditions for lattice-ordered group F(Δ,R) to be the unique archimedean closure of Σ (Δ,R).
Description
Keywords
Citation
Chen, Yuanqian, et al. “Archimedean Closed Lattice-Ordered Groups.” Rocky Mountain Journal of Mathematics, vol. 34, no. 1, Spring 2004, pp. 111–24.
DOI
Link(s) to data and video for this item
Relation
Rights
Type
Article