Topologies on abelian lattice ordered groups induced by a positive filter and completeness

DOI10.1007/S00012-018-0543-7zbMath1472.06020OpenAlexW2885399088WikidataQ129440730 ScholiaQ129440730MaRDI QIDQ1991593

Francis Jordan, Homeira Pajoohesh

Publication date: 30 October 2018

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

Full work available at URL: https://doi.org/10.1007/s00012-018-0543-7

zbMATH Keywords

abelian \(\ell \)-groupcompletion of \(\ell \)-groupcompletion of \(C(X)\)

Mathematics Subject Classification ID

Structure of general topological groups (22A05) Ordered groups (06F15) Topological linear spaces and related structures (46A99)

Related Items (2)

Positive filters and links in an ℓ-group ⋮ On the Boolean algebra induced by a unital \(\ell\)-group

Cites Work

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• Topologies arising from metrics valued in abelian \(\ell\)-groups
• Intrinsic metrics for lattice ordered groups
• Distinguished extensions of a lattice-ordered group
• Free lattice-ordered Abelian groups. II
• Über die Vervollständigung geordneter Gruppen
• Convergence and Cauchy Structures on Lattice Ordered Groups
• Ordering Uniform Completions of Partially Ordered Sets

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