Artin-Schreier extensions in n-dependent fields

Nadja Hempel (1)

1 ICJ - Institut Camille Jordan

A Baldwin-Saxl condition for groups without the n-independence property (NIPn) is established. It follows that NIPn fields are Artin-Schreier closed and certain properties of NIP valued fields extend to the NIPn context.

Mots clés: Artin-Schreier extensions; n-dependent fields; NIPn fields

Domaines: Logique [math.LO]

Nadja Hempel. Artin-Schreier extensions in n-dependent fields. 2014. ⟨hal-00933339v1⟩