Closed subgroups and complete distributivity in lattice-ordered groups

DOI10.1007/BF01136029zbMath0178.02902OpenAlexW2017866582MaRDI QIDQ2533042

Richard D. Byrd, Justin T. Lloyd

Publication date: 1967

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/170831

zbMATH Keywords

group theory

Related Items (22)

Convergence and Cauchy Structures on Lattice Ordered Groups ⋮ Unnamed Item ⋮ Epicomplete l-groups ⋮ Embeddings of Topological Lattice-Ordered Groups ⋮ Hereditary Properties and Maximality conditions with Respect to Essential Extensions of Lattice Group Orders ⋮ Characteristic Subgroups of Lattice-Ordered Groups ⋮ Essential Extensions of Partial Orders on Groups ⋮ Complete distributivity and $\alpha $-convergence ⋮ Signatures and \(S\)-discrete lattice-ordered groups ⋮ The $\alpha $-completion of a lattice ordered group ⋮ Unnamed Item ⋮ The structure of intransitive ordered permutation groups ⋮ Higher Degrees of Distributivity in MV-Algebras ⋮ On the distributive radical of an Archimedean lattice-ordered group ⋮ Compactly generated lattice-order groups ⋮ Distributivity in lattice ordered groups ⋮ Direct summands inl-groups ⋮ Closed Subgroups of Lattice-Ordered Permutation Groups ⋮ Kernels in Lattice-Ordered Groups ⋮ Special-valued \(\ell\)-groups ⋮ Lateral completion for arbitrary lattice groups ⋮ Spaces Fréchet-Urysohn with respect to families of subsets

Cites Work

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• Completely distributive lattice-ordered groups
• Complete distributivity in lattice-ordered groups
• Complete distributivity in certain infinite permutation groups
• The lattice-ordered group of automorphisms of an ordered set
• The relationship between the radical of a lattice-ordered group and complete distributivity
• Some Structure Theorems for Lattice-Ordered Groups
• A Class of Simple Lattice-Ordered Groups
• $M$-polars in lattice-ordered groups

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