Journal of Symbolic Logic

Asymptotic theory of modules of separably closed fields

Françoise Point

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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.

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

First available in Project Euclid: 1 July 2005

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

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