Closure operators on radical classes of lattice-ordered groups

DOI10.21136/cmj.1987.102134zbMath0624.06022OpenAlexW2620773050MaRDI QIDQ3762380

Michael R. Darnel

Publication date: 1987

Full work available at URL: https://eudml.org/doc/13620

zbMATH Keywords

polarsradical classespseudocomplemented latticelattice of radical classes\(\ell \)-groupsskeletal elementsclosed-kernel radical classp-closure operatorP-productproduct of radical classesradical kernelupper product

Mathematics Subject Classification ID

Complete lattices, completions (06B23) Ordered groups (06F15) Ordered groups (group-theoretic aspects) (20F60)

Related Items (12)

Closure operators on the lattice of radical classes of lattice ordered groups ⋮ Unnamed Item ⋮ On torsion classes of lattice-ordered groups ⋮ On some types of radical classes ⋮ On directed interpolation groups ⋮ Unnamed Item ⋮ Some properties of lattices of radical classes of lattice-ordered groups ⋮ On some completeness properties for lattice ordered groups ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Radical classes of generalized Boolean algebras ⋮ Radical classes of MV-algebras

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
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• Special-valued \(\ell\)-groups
• Groupes et anneaux reticules
• Wreath products of ordered permutation groups
• The essential closure of an Archimedean lattice-ordered group
• The lattice of closed ideals and a\(^*\)-extensions of an abelian \(l\)- group
• Free lattice-ordered Abelian groups
• The lattice-ordered group of automorphisms of an ordered set
• Wreath Products of Nonoverlapping Lattice Ordered Groups
• Epi-archimedean groups
• Varieties of lattice-ordered groups

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