## Journal of Symbolic Logic

### Paires Elementaires de Corps Pseudo-Finis: Denombrement des Completions (Elementary Pairs of Pseudo-Finite Fields: Counting Completions)

Helene Lejeune

#### Abstract

Let $\Pi$ be a complete theorie of pseudo-finite fields. In this article we prove that, in the langage of fields to which we add a unary predicate for a substructure, the theory of non trivial elementary pairs of models of II has 2$^{\aleph_0}$ completions, that is, the maximum that could exist.

#### Article information

Source
J. Symbolic Logic, Volume 65, Issue 2 (2000), 705-718.

Dates
First available in Project Euclid: 6 July 2007

Permanent link to this document
https://projecteuclid.org/euclid.jsl/1183746072

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