A CHARACTERIZATION OF ABELIAN η α -GROUPS IN TERMS OF THEIR NATURAL VALUATION

DOI10.1073/pnas.47.5.711zbMath0108.25702OpenAlexW1485494538WikidataQ36406470 ScholiaQ36406470MaRDI QIDQ3844496

Norman L. Alling

Publication date: 1961

Published in: Proceedings of the National Academy of Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1073/pnas.47.5.711

zbMATH Keywords

totally ordered abelian groupeta(alpha)-settotally ordered set of nonzero principal convex subgroups

Mathematics Subject Classification ID

Ordered abelian groups, Riesz groups, ordered linear spaces (06F20) Abelian groups (20K99)

Related Items (8)

On \(\eta_{\alpha}\)-groups and fields ⋮ On Exponentially Closed Fields ⋮ Rings of Continuous Integer-Valued Functions and Nonstandard Arithmetic ⋮ Sui gruppi e corpi ordinati ⋮ An Application of Valuation Theory to Rings of Continuous Real and Complex-Valued Functions ⋮ \(\eta_\alpha\)-Strukturen ⋮ The valuation theory of meromorphic function fields over open Riemann surfaces ⋮ On directed interpolation groups

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