Existentially closed ordered difference fields and rings

DOI10.1002/malq.200910007zbMath1211.03054OpenAlexW2008426029MaRDI QIDQ3566943

Françoise Point

Publication date: 10 June 2010

Published in: Mathematical Logic Quarterly (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/malq.200910007

zbMATH Keywords

lattice-ordered ringvalued fieldordered fieldAx-Kochen-Ershov principleexistentially closed difference field

Mathematics Subject Classification ID

Model-theoretic algebra (03C60) Ordered rings, algebras, modules (06F25) Ordered fields (12J15) Ordered rings (13J25) Difference algebra (12H10) Valued fields (12J10)

Related Items (2)

Multiplicative valued difference fields ⋮ Corrigendum to F. Point, Existentially closed ordered difference fields and rings

Cites Work

• Real closed rings. II. Model theory
• On groups and fields definable in o-minimal structures
• Decidable theories of preordered fields
• Groupes et anneaux reticules
• On von Neumann regular rings with an automorphism
• Maximal fields with valuations
• On the elementary theory of pairs of real closed fields. II
• On places of algebraic function fields.
• Sheaf Constructions and Their Elementary Properties
• Model theory of difference fields
• The strict order property and generic automorphisms

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