Asymptotic theory of modules of separably closed fields

Point, Françoise

J. Symbolic Logic, Tome 70 (2005) no. 1, p. 573-592 / Harvested from Project Euclid

Résumé

We consider the reduct to the module language of certain theories of fields with a non surjective endomorphism. We show in some cases the existence of a model companion. We apply our results for axiomatizing the reduct to the theory of modules of non principal ultraproducts of separably closed fields of fixed but non zero imperfection degree.

Publié le : 2005-06-14
Classification:

@article{1120224729,
     author = {Point, Fran\c coise},
     title = {Asymptotic theory of modules of separably closed fields},
     journal = {J. Symbolic Logic},
     volume = {70},
     number = {1},
     year = {2005},
     pages = { 573-592},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1120224729}
}

Point, Françoise. Asymptotic theory of modules of separably closed fields. J. Symbolic Logic, Tome 70 (2005) no. 1, pp.  573-592. http://gdmltest.u-ga.fr/item/1120224729/