Absolute Convergence in Ordered Fields

DOI10.4169/AMER.MATH.MONTHLY.121.10.909zbMath1320.40005OpenAlexW2403021103WikidataQ58120315 ScholiaQ58120315MaRDI QIDQ5246433

Pete L. Clark, Niels J. Diepeveen

Publication date: 21 April 2015

Published in: The American Mathematical Monthly (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4169/amer.math.monthly.121.10.909

zbMATH Keywords

absolutely convergent seriesconvergent seriesnon-Archimedean fieldsordered fieldsCauchy completenessArchimedean fields

Mathematics Subject Classification ID

Ordered fields (12J15) Summability in abstract structures (40J05)

Related Items (3)

Completeness of ordered fields and a trio of classical series tests ⋮ Another Face of the Archimedean Property ⋮ More of Dedekind: his series test in normed spaces

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