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Fields of finite Morley rank

Published online by Cambridge University Press:  12 March 2014

Frank Wagner
Frank Wagner*
Affiliation:
Institut Girard Desargues, Université Claude Bernard (Lyon-1), Mathématiques, Bâtiment 101, 43 Boulevard Du 11 Novembre 1918, 69622 Villeurbanne-Cedex, France, E-mail: wagner@desargues.univ-lyonl.fr
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Abstract

If K is a field of finite Morley rank, then for any parameter set A ⊆ Keq the prime model over A is equal to the model-theoretic algebraic closure of A. A field of finite Morley rank eliminates imaginaries. Simlar results hold for minimal groups of finite Morley rank with infinite acl(∅).

Keywords

Fieldfinite Morley rankprime modelelimination of imaginaries
Type
Research Article
Information
The Journal of Symbolic Logic , Volume 66 , Issue 2 , June 2001 , pp. 703 - 706
Copyright
Copyright © Association for Symbolic Logic 2001

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References

REFERENCES

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