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A note on defining transcendentals in function fields

Published online by Cambridge University Press:  12 March 2014

Arno Fehm  and
Wulf-Dieter Geyer
Arno Fehm
Affiliation:
School of Mathematics, Tel Aviv University, Ramat Aviv, Tel Aviv 69978, Israel, E-mail: afehm@post.tau.ac.il
Wulf-Dieter Geyer
Affiliation:
Universität Erlangen-Nürnberg, Mathematisches Institut, Bismarckstr. 1 1/2, 91054 Erlangen, Germany, E-mail: geyer@mi.uni-erlangen.de
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Abstract

The work [11] deals with questions of first-order definability in algebraic function fields. In particular, it exhibits new cases in which the field of constant functions is definable, and it investigates the phenomenon of definable transcendental elements. We fix some of its proofs and make additional observations concerning definable closure in these fields.

Type
Research Article
Information
The Journal of Symbolic Logic , Volume 74 , Issue 4 , December 2009 , pp. 1206 - 1210
Copyright
Copyright © Association for Symbolic Logic 2009

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References

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