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An alternative construction of Conway's ordered field No

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Publication:1102272
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DOI10.1007/BF01229956zbMath0644.03020MaRDI QIDQ1102272

Philip Ehrlich

Publication date: 1988

Published in: Algebra Universalis (Search for Journal in Brave)


zbMATH Keywords

real-closed fieldshomogeneous universal modelsordered field No


Mathematics Subject Classification ID

Model-theoretic algebra (03C60) Ordered fields (12J15) Model theory of fields (12L12)


Related Items (4)

Surreal Analysis: An Analogue of Real Analysis for Surreal Numbers ⋮ NUMBER SYSTEMS WITH SIMPLICITY HIERARCHIES: A GENERALIZATION OF CONWAY’S THEORY OF SURREAL NUMBERS II ⋮ Transseries and Todorov-Vernaeve's asymptotic fields ⋮ SURREAL ORDERED EXPONENTIAL FIELDS



Cites Work

  • Zur Axiomatik der Mengenlehre
  • Beiträge zur Theorie der Ordnungstypen, insbesondere der \(\eta_{\alpha}\)-Mengen
  • An isomorphism theorem for real-closed fields
  • Conway's Field of Surreal Numbers
  • On Ordered Divisible Groups
  • On the Existence of Real-Closed Fields That Are η α -Sets of Power ℵ α
  • Homogeneous Universal Models.
  • On Ordered Division Rings
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