Asymptotic theory of modules of separably closed fields

Journal of Symbolic Logic 70 (2):573-592 (2005)
  Copy   BIBTEX

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

Categories

Keywords

Reprint years

DOI

10.2178/jsl/1120224729

Links

PhilArchive



    Upload a copy of this work     Papers currently archived: 91,219

External links

Setup an account with your affiliations in order to access resources via your University's proxy server

Through your library

My notes

Similar books and articles

Notes on the stability of separably closed fields.Carol Wood - 1979 - Journal of Symbolic Logic 44 (3):412-416.
The independence relation in separably closed fields.G. Srour - 1986 - Journal of Symbolic Logic 51 (3):715-725.
Minimal groups in separably closed fields.E. Bouscaren & F. Delon - 2002 - Journal of Symbolic Logic 67 (1):239-259.
Separably closed fields with Hasse derivations.Martin Ziegler - 2003 - Journal of Symbolic Logic 68 (1):311-318.
Theories of modules closed under direct products.Roger Villemaire - 1992 - Journal of Symbolic Logic 57 (2):515-521.
A note on existentially closed difference fields with algebraically closed fixed field.Anand Pillay - 2001 - Journal of Symbolic Logic 66 (2):719-721.
Quantifier elimination in separably closed fields of finite imperfectness degree.Dan Haran - 1988 - Journal of Symbolic Logic 53 (2):463-469.
Modules of existentially closed algebras.Paul C. Eklof & Hans-Christian Mez - 1987 - Journal of Symbolic Logic 52 (1):54-63.
Minimal types in separably closed fields.Zoé Chatzidakis & Carol Wood - 2000 - Journal of Symbolic Logic 65 (3):1443-1450.
Some model theory for almost real closed fields.Françoise Delon & Rafel Farré - 1996 - Journal of Symbolic Logic 61 (4):1121-1152.
The undecidability of intuitionistic theories of algebraically closed fields and real closed fields.Dov M. Gabbay - 1973 - Journal of Symbolic Logic 38 (1):86-92.
Differential forms in the model theory of differential fields.David Pierce - 2003 - Journal of Symbolic Logic 68 (3):923-945.
Canonical forms for definable subsets of algebraically closed and real closed valued fields.Jan E. Holly - 1995 - Journal of Symbolic Logic 60 (3):843-860.

Analytics

Added to PP
2010-08-24

Downloads
20 (#723,940)

6 months
6 (#431,022)

Historical graph of downloads
How can I increase my downloads?

Citations of this work

No citations found.

Add more citations

References found in this work

Model theory of modules.Martin Ziegler - 1984 - Annals of Pure and Applied Logic 26 (2):149-213.
The theory of modules of separably closed fields 2.Pilar Dellunde, Françoise Delon & Françoise Point - 2004 - Annals of Pure and Applied Logic 129 (1-3):181-210.

Add more references