Displaying similar documents to “On the model companion for e-fold p-adically valued fields.”

Properties of extensions of algebraically maximal fields.

G. Leloup (2003)

Collectanea Mathematica

Similarity:

We prove some properties similar to the theorem Ax-Kochen-Ershov, in some cases of pairs of algebraically maximal fields of residue characteristic p > 0. This properties hold in particular for pairs of Kaplansky fields of equal characteristic, formally p-adic fields and finitely ramified fields. From that we derive results about decidability of such extensions.