Cancellation and absorption of lexicographic powers of totally ordered Abelian groups

DOI10.1007/BF00354895zbMath0664.06013MaRDI QIDQ1115465

Michèle Giraudet

Publication date: 1988

Published in: Order (Search for Journal in Brave)

zbMATH Keywords

elementary equivalencelexicographic powerstotally ordered Abelian groups

Mathematics Subject Classification ID

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

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Cites Work

• Unnamed Item
• Produits lexicographiques de groupes ordonnés: Isomorphisme et équivalence élémentaire. (Lexicographic products of ordered groups: isomorphism and elementary equivalence)
• The first order properties of products of algebraic systems
• An Example of Two Nonisomorphic Countable ordered Abelian Groups with Isomorphic Lexicographical Squares
• The elementary theory of abelian groups
• Every Countable Reduced Torsion-Free Ring is an Endomorphism Ring