A theorem and a question about epicomplete Archimedean lattice-ordered groups

DOI10.1007/s00012-010-0049-4zbMath1225.06010OpenAlexW2138486854MaRDI QIDQ987179

Richard N. Ball, Anthony W. Hager, Donald G. Johnson, Ann Kizanis

Publication date: 13 August 2010

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

Full work available at URL: https://doi.org/10.1007/s00012-010-0049-4

zbMATH Keywords

lattice-ordered group\(P\)-set\(f\)-ringweak order unitbasically disconnected spaceepicompleteArchimedean \(\ell\)-groupJ-representationuniversally \(\sigma\)-complete

Mathematics Subject Classification ID

Algebraic properties of function spaces in general topology (54C40) Ordered groups (06F15) Extremally disconnected spaces, (F)-spaces, etc. (54G05)

Related Items (4)

Truncated abelian lattice-ordered groups. I: The pointed (Yosida) representation ⋮ The \(P\)-frame reflection of a completely regular frame ⋮ Relative uniform completeness and order-convex representations of Archimedean \(\ell \)-groups and \(f\)-rings ⋮ Some unusual epicomplete Archimedean lattice-ordered groups

Cites Work

• On the epicomplete monoreflection of an archimedean lattice-ordered group
• A representation theorem revisited
• Order completeness and disjoint completeness of linear partially ordered spaces
• Groupes et anneaux reticules
• On a new construction of Dedekind completion of vector lattices and of l- groups with division
• Epicomplete Archimedean l-Groups and Vector Lattices
• On the structure of a class of archimedean lattice-ordered algebras
• Prime Ideals in Vector Lattices
• On a Representation Theory for a Class of Archimedean Lattice-Ordered Rings
• Order-Cauchy Completions of Rings and Vector Lattices of Continuous Functions
• The Additive Group of an f-ring
• Inextensible Riesz spaces
• Unique Representation of Archimedean Lattice Groups and Normal Archimedean Lattice Rings
• A Representation Theorem for Archimedean Linear Lattices
• A Representation Theory for Lattice-Groups
• Weak units in epicompletions of Archimedean lattice-ordered groups
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