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Corps et Anneaux de Rolle

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DOI10.2307/2046522zbMath0613.03011OpenAlexW4247775431MaRDI QIDQ3753988

Françoise Delon

Publication date: 1986

Full work available at URL: https://doi.org/10.2307/2046522


zbMATH Keywords

Rolle's theoremordered ringHenselian valuationRolle fieldBrown-Craven-Pelling theoremfirst order property in the language of ringsRolle rings


Mathematics Subject Classification ID

Decidability and field theory (12L05) Model-theoretic algebra (03C60) Applications of logic to commutative algebra (13L05) Ordered fields (12J15) Henselian rings (13J15)


Related Items (2)

Null- and Positivstellensätze for generalized real closed fields ⋮ Simple axiomatizations of Rolle fields




Cites Work

  • Real closed rings. II. Model theory
  • On the elementary theory of Hensel fields
  • Elementary properties of ordered abelian groups
  • Shorter Notes: On the Undecidability of Power Series Fields
  • Ordered fields satisfying Rolle's theorem
  • Unnamed Item
  • Unnamed Item




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