Journal of Symbolic Logic

Asymptotic theory of modules of separably closed fields

Françoise Point

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.

Article information

Source
J. Symbolic Logic, Volume 70, Issue 2 (2005), 573-592.

Dates
First available in Project Euclid: 1 July 2005

https://projecteuclid.org/euclid.jsl/1120224729

Digital Object Identifier
doi:10.2178/jsl/1120224729

Mathematical Reviews number (MathSciNet)
MR2140047

Zentralblatt MATH identifier
1119.03032

Citation

Point, Françoise. Asymptotic theory of modules of separably closed fields. J. Symbolic Logic 70 (2005), no. 2, 573--592. doi:10.2178/jsl/1120224729. https://projecteuclid.org/euclid.jsl/1120224729

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