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Asymptotic theory of modules of separably closed fields

Published online by Cambridge University Press:  12 March 2014

Françoise Point
Françoise Point*
Affiliation:
Institut De Mathématique Et Informatique, Université De Mons-Hainaut, Le Pentagone 6. Avenue Du Champ De Mars, B-7000 Mons, Belgium, E-mail: point@logique.jussieu.fr
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Abstract

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.

Type
Research Article
Information
The Journal of Symbolic Logic , Volume 70 , Issue 2 , June 2005 , pp. 573 - 592
Copyright
Copyright © Association for Symbolic Logic 2005

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References

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