$C(\beta\mathbb{N}\setminus\mathbb{N})$ among the Archimedean $\ell$-groups with strong unit

DOI10.4064/dm854-7-2022OpenAlexW4312711540MaRDI QIDQ6039792

Philip Scowcroft

Publication date: 23 May 2023

Published in: Dissertationes Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4064/dm854-7-2022

zbMATH Keywords

lattice-ordered groupstrong unitexistentially closedfinitely genericinfinitely genericzero-set lattice

Mathematics Subject Classification ID

Model-theoretic algebra (03C60) Ordered abelian groups, Riesz groups, ordered linear spaces (06F20) Model-theoretic forcing (03C25)

Related Items (1)

New axioms for the lattice-ordered groups existentially closed in $\mathbf W^+$

Cites Work

• Algebraically closed and existentially closed abelian lattice-ordered groups
• The category of Archimedean \(\ell\)-groups with strong unit, and some of its epireflective subcategories
• Majorizing-injectivity in Abelian lattice-ordered groups
• Forcing, arithmetic, division rings
• Boolean powers
• \(l\)-groups \(C(X)\) in continuous logic
• Complemented lattice-ordered groups
• Existentially closed closure algebras
• Rings of Continuous Functions in Which Every Finitely Generated Ideal is Principal
• Finitely Generic Abelian Lattice-Ordered Groups
• Negative-existentially complete structures and definability in free extensions
• The Lattice Theory of Post Algebras
• On vector lattice with a unit
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