Lattice-Ordered Groups Whose Lattices Determine Their Additions
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Publication:4006665
DOI10.2307/2153923zbMath0756.06009OpenAlexW4229557764MaRDI QIDQ4006665
Michael R. Darnel, Paul F. Conrad
Publication date: 26 September 1992
Full work available at URL: https://doi.org/10.2307/2153923
root systemStone spacelattice-ordered groupsdescending chain conditionarchimedean\(\ell\)-groupsunique addition\(\ell\)-group of continuous extended real-valued functionsfree Abelian lattice-ordered groupsOhkuma chainSpecker kernel
Related Items (8)
Torsion classes of Specker lattice ordered groups ⋮ Uniqueness of the group operation on the lattice of order-automorphisms of the real line ⋮ Groupable lattices ⋮ Lattice-theoretic properties of algebras of logic ⋮ Subgroups and Hulls of Specker Lattice-Ordered Groups ⋮ Signatures and \(S\)-discrete lattice-ordered groups ⋮ Uniqueness of the implication for totally ordered MV-algebras ⋮ On vector lattices of elementary Carathéodory functions
Cites Work
- Special-valued \(\ell\)-groups
- Groupes et anneaux reticules
- Free lattice-ordered Abelian groups. II
- Transitive lattice-ordered permutation groups
- Verallgemeinerung eines Satzes von Herrn F. Specker
- The ring of polar preserving endomorphisms of an abelian lattice-ordered group
- The essential closure of an Archimedean lattice-ordered group
- Bi-Interpretable Groups and Lattices
- Above and Below Subgroups of a Lattice-Ordered Group
- Rigid homogeneous chains
- Epi-archimedean groups
- The Structure of f‐Algebras
- Unique Representation of Archimedean Lattice Groups and Normal Archimedean Lattice Rings
- The Completion of a Lattice Ordered Group
- Characteristic Subgroups of Lattice-Ordered Groups
- Free lattice-ordered groups
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