On \(\eta_{\alpha}\)-groups and fields

DOI10.1007/BF01462232zbMath0816.06019MaRDI QIDQ1337577

Salma Kuhlmann, Norman L. Alling

Publication date: 10 November 1994

Published in: Order (Search for Journal in Brave)

zbMATH Keywords

valuation theoryorder typereal closed fieldsHahn groupsformal power series fieldsnonarchimedean ordered fieldsnonarchimedean ordered groupsordered divisible Abelian groups

Mathematics Subject Classification ID

Model-theoretic algebra (03C60) Ordered abelian groups, Riesz groups, ordered linear spaces (06F20) Ordered fields (12J15)

Related Items (6)

A note on \(\aleph_\alpha\)-saturated o-minimal expansions of real closed fields ⋮ NUMBER SYSTEMS WITH SIMPLICITY HIERARCHIES: A GENERALIZATION OF CONWAY’S THEORY OF SURREAL NUMBERS II ⋮ The Valuation Difference Rank of a Quasi-Ordered Difference Field ⋮ Selected methods for the classification of cuts, and their applications ⋮ \(\kappa\)-bounded exponential-logarithmic power series fields ⋮ A VALUATION THEORETIC CHARACTERIZATION OF RECURSIVELY SATURATED REAL CLOSED FIELDS

Cites Work

• Unnamed Item
• Model theory
• An isomorphism theorem for real-closed fields
• On Ordered Divisible Groups
• Vaught's conjecture for o-minimal theories
• Definable Sets in Ordered Structures. I
• A CHARACTERIZATION OF ABELIAN η _α -GROUPS IN TERMS OF THEIR NATURAL VALUATION
• On Exponentially Closed Fields

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