Generic automorphisms of separably closed fields

Chatzidakis, Zoé

Illinois J. Math., Tome 45 (2001) no. 4, p. 693-733 / Harvested from Project Euclid

Résumé

We show that the class of separably closed fields with a generic automorphism is an elementary class, whose theory is model complete in a natural extension of the language of fields with an automorphism. We describe the completions of this theory and obtain some results on types, imaginaries, and modularity.

Publié le : 2001-07-15
Classification: 03C60, 03C45, 12H10, 12L12

@article{1258138147,
     author = {Chatzidakis, Zo\'e},
     title = {Generic automorphisms of separably closed fields},
     journal = {Illinois J. Math.},
     volume = {45},
     number = {4},
     year = {2001},
     pages = { 693-733},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1258138147}
}

Chatzidakis, Zoé. Generic automorphisms of separably closed fields. Illinois J. Math., Tome 45 (2001) no. 4, pp.  693-733. http://gdmltest.u-ga.fr/item/1258138147/