Journal of Symbolic Logic

A note on defining transcendentals in function fields

Arno Fehm and Wulf-Dieter Geyer

Source: J. Symbolic Logic Volume 74, Issue 4 (2009), 1206-1210.

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.

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Links and Identifiers

Permanent link to this document: http://projecteuclid.org/euclid.jsl/1254748687
Digital Object Identifier: doi:10.2178/jsl/1254748687

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