First-order theories of subgroups of divisible Hahn products

DOI10.1016/S0168-0072(02)00115-XzbMath1022.03018MaRDI QIDQ1399104

François Lucas

Publication date: 30 July 2003

Published in: Annals of Pure and Applied Logic (Search for Journal in Brave)

zbMATH Keywords

elementary classfirst-order theorieselementary equivalenceelementary substructuresHahn productsspecial-valued lattice-ordered abelian groups

Mathematics Subject Classification ID

Model-theoretic algebra (03C60) Ordered abelian groups, Riesz groups, ordered linear spaces (06F20) Model theory of ordered structures; o-minimality (03C64)

Related Items (2)

Decidable theories of non-projectable \(l\)-groups of continuous functions ⋮ Model-completions for abelian lattice-ordered groups with finitely many disjoint elements

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Noetherian rings of generalized power series
• Groupes et anneaux reticules
• Prime spectra of lattice-ordered abelian groups
• Back-and-forth for systems of antichains
• Ordering the set of antichains of an ordered set
• The first order properties of products of algebraic systems
• Inclusions et produits de groupes abéliens ordonnés étudiés au premier ordre
• Hyper-regular lattice-ordered groups
• The Hahn Embedding Theorem for Abelian Lattice-Ordered Groups
• Embedding Theorems for Abelian Groups with Valuations

This page was built for publication: First-order theories of subgroups of divisible Hahn products