Dp-finite fields I(A): The infinitesimals
نویسندگان
چکیده
We prove that NIP valued fields of positive characteristic are henselian, and we begin to generalize the known results on dp-minimal dp-finite fields. On any unstable field K, define a type-definable group “infinitesimals,” corresponding canonical topology (K,+). reduce classification construction non-trivial Aut(K/A)-invariant valuation rings.
منابع مشابه
Dp-Minimal Valued Fields
We show that dp-minimal valued fields are henselian and give classifications of dp-minimal ordered abelian groups and dp-minimal ordered fields without additional structure.
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ژورنال
عنوان ژورنال: Annals of Pure and Applied Logic
سال: 2021
ISSN: ['0168-0072', '1873-2461']
DOI: https://doi.org/10.1016/j.apal.2021.102947