Dp-finite fields. I(A): The infinitesimals

DOI10.1016/j.apal.2021.102947zbMath1473.03018OpenAlexW3128653680MaRDI QIDQ2662696

Will Johnson

Publication date: 14 April 2021

Published in: Annals of Pure and Applied Logic (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apal.2021.102947

zbMATH Keywords

dp-rankNIP fieldsShelah's conjecture

Mathematics Subject Classification ID

Model-theoretic algebra (03C60) Classification theory, stability, and related concepts in model theory (03C45) Model theory of fields (12L12) Valued fields (12J10)

Related Items (6)

Dp-minimal integral domains ⋮ Dp-finite fields. I(B): Positive characteristic ⋮ Interpretable fields in various valued fields ⋮ Henselianity in NIP \(\mathbb{F}_p\)-algebras ⋮ The classification of dp-minimal and dp-small fields ⋮ Onn-dependent groups and fields II

Cites Work

• Model theoretic connected components of groups
• Artin-Schreier extensions in NIP and simple fields
• Externally definable sets and dependent pairs
• Dp-finite fields. I(B): Positive characteristic
• Additivity of the dp-rank
• Strong theories of ordered Abelian groups
• The canonical topology on dp-minimal fields
• DP-MINIMALITY: INVARIANT TYPES AND DP-RANK
• A CONJECTURAL CLASSIFICATION OF STRONGLY DEPENDENT FIELDS
• A Guide to NIP Theories
• Groups, measures, and the NIP
• Valued Fields
• DP-MINIMAL VALUED FIELDS
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