Adjunction of a strong unit to a hyper-Archimedean lattice-ordered group

DOI10.1007/s00012-023-00803-xOpenAlexW4320487843MaRDI QIDQ2683741

Philip Scowcroft

Publication date: 15 February 2023

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

Full work available at URL: https://doi.org/10.1007/s00012-023-00803-x

zbMATH Keywords

lattice-ordered groupstrong unitgeneralized Boolean algebrahyper-Archimedean

Mathematics Subject Classification ID

Logic with extra quantifiers and operators (03C80) Ordered abelian groups, Riesz groups, ordered linear spaces (06F20)

Cites Work

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• Essential adjunction of a strong unit to an Archimedean lattice-ordered group
• Minimally generated Boolean algebras
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• Adjoining a strong unit to an Archimedean lattice-ordered group
• A Note on Complete Boolean Algebras
• Settling a Number of Questions about Hyper-Archimedean Lattice-Ordered Groups
• Boolean Algebras Whose Ideals Are Disjointly Generated
• The theorems of beth and Craig in abstract model theory II. Compact logics
• Epi-archimedean groups
• Stationary logic
• Estimates for the Number of Real-Valued Continuous Functions
• Generalized quantifiers and well orderings
• Remarks on predicate logic with infinitely long expressions
• The Theory of Representation for Boolean Algebras

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