Essential adjunction of a strong unit to an Archimedean lattice-ordered group

DOI10.1007/s00012-020-00665-7zbMath1481.06041OpenAlexW3036759106MaRDI QIDQ776991

Philip Scowcroft, Anthony W. Hager

Publication date: 13 July 2020

Published in: Algebra Universalis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00012-020-00665-7

zbMATH Keywords

\(C(X)\)Archimedean orderessential extensionstrong unitArchimedean lattice-ordered groupextremally disconnected space and cover

Mathematics Subject Classification ID

Algebraic properties of function spaces in general topology (54C40) Cardinal characteristics of the continuum (03E17) Local compactness, (sigma)-compactness (54D45) Ordered topological linear spaces, vector lattices (46A40) Extremally disconnected spaces, (F)-spaces, etc. (54G05) Ordered abelian groups, Riesz groups, ordered linear spaces (06F20) Topological representations of algebraic systems (54H10)

Related Items (2)

Adjoining a strong unit to an Archimedean lattice-ordered group ⋮ Adjunction of a strong unit to a hyper-Archimedean lattice-ordered group

Cites Work

• Groupes et anneaux reticules
• Some comments and examples on generation of (hyper-)Archimedean \(\ell\)-groups and \(f\)-rings
• The essential closure of an Archimedean lattice-ordered group
• Adjoining a strong unit to an Archimedean lattice-ordered group
• Egoroff, $\sigma $, and convergence properties in some archimedean vector lattices
• On the structure of a class of archimedean lattice-ordered algebras
• Settling a Number of Questions about Hyper-Archimedean Lattice-Ordered Groups
• On the Embedding into a Ring of an Archimedean ι-Group
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Essential adjunction of a strong unit to an Archimedean lattice-ordered group