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Red fields

Published online by Cambridge University Press:  12 March 2014

A. Baudisch ,
A. Martin-Pizarro  and
M. Ziegler
A. Baudisch
Affiliation:
Institut Camille Jordan, Université Claude Bernard Lyon 1, 43 Boulevard Du 11 Novembre 1918, 69622 Villeurbanne Cedex, France. E-mail: pizarro@mathematik.hu-berlin.de Institut für Mathematik, Humboldt-Universität zu Berlin, D-10099 Berlin, Germany. E-mail: baudisch@mathematik.hu-berlin.de
A. Martin-Pizarro
Affiliation:
Institut für Mathematik, Humboldt-Universität zu Berlin, D-10099 Berlin, Germany
M. Ziegler
Affiliation:
Mathematisches Institut, Albert-Ludwigs-Universität Freiburg, D-79104 Freiburg, Germany. E-mail: ziegler@uni-freiburg.de
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Abstract

We apply Hrushovski-Fraïsseé's amalgamation procedure to obtain a theory of fields of prime characteristic of Morley rank 2 equipped with a definable additive subgroup of rank 1.

Keywords

model theoryfields of finite Morley rank
Type
Research Article
Information
The Journal of Symbolic Logic , Volume 72 , Issue 1 , March 2007 , pp. 207 - 225
Copyright
Copyright © Association for Symbolic Logic 2007

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References

REFERENCES

[1]Baldwin, J. and Holland, K., Constructing ω-stable structures: rank 2 fields, this Journal, vol. 65 (2000), pp. 371–391.Google Scholar
[2]Baudisch, A., Martin-Pizarro, A., and Ziegler, M., Hrushovskis fusion, preprint, 2004.Google Scholar
[3]Baudisch, A., Martin-Pizarro, A., and Ziegler, M., Fusion over a vector space, submitted, 2005.CrossRefGoogle Scholar
[4]Baudisch, A., Martin-Pizarro, A., and Ziegler, M., On fields and colours, Algebra i Logika, vol. 45 (2006), no. 2, pp. 92–105, (http://arxiv.org/math.L0/0605412).Google Scholar
[5]Hasson, A. and Hils, M., Fusion over sublanguages, this Journal, vol. 71 (2006), no. 2, pp. 361–398.Google Scholar
[6]Hrushovski, E., Strongly minimal expansions of algebraically closed fields, Israel Journal of Mathematics, vol. 79 (1992), pp. 129–151.CrossRefGoogle Scholar
[7]Hrushovski, E., A new strongly minimal set, Annals of Pure and Applied Logic, vol. 62 (1993), pp. 147–166.CrossRefGoogle Scholar
[8]Hrushovski, E. and Zil'ber, B., Zariski geometries, Bulletin of the American Mathematical Society, vol. 28 (1993), pp. 315–323.CrossRefGoogle Scholar
[9]Poizat, B., Groupes stables. Une tentative de conciliation entre la géométric algébrique et la logique mathématique, Nur al-Mantiq wal-Maŕifah, Bruno Poizat, Lyon, 1987.Google Scholar
[10]Poizat, B., Le carré de l'égalité, this Journal, vol. 64 (1999), no. 3, pp. 1338–1355.Google Scholar
[11]Poizat, B., L'égalité au cube, this Journal, vol. 66 (2001), no. 4, pp. 1647–1676.Google Scholar
[12]Ziegler, M., A note on generic types, unpublished, 2006, (http://arxiv.org/math.lo/0608433).Google Scholar