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June 2010 Schlanke Körper (Slim fields)
Markus Junker, Jochen Koenigsmann
J. Symbolic Logic 75(2): 481-500 (June 2010). DOI: 10.2178/jsl/1268917491

Abstract

We examine fields in which model theoretic algebraic closure coincides with relative field theoretic algebraic closure. These are perfect fields with nice model theoretic behaviour. For example, they are exactly the fields in which algebraic independence is an abstract independence relation in the sense of Kim and Pillay. Classes of examples are perfect PAC fields, model complete large fields and henselian valued fields of characteristic 0.

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Markus Junker. Jochen Koenigsmann. "Schlanke Körper (Slim fields)." J. Symbolic Logic 75 (2) 481 - 500, June 2010. https://doi.org/10.2178/jsl/1268917491

Information

Published: June 2010
First available in Project Euclid: 18 March 2010

zbMATH: 1218.03027
MathSciNet: MR2648152
Digital Object Identifier: 10.2178/jsl/1268917491

Rights: Copyright © 2010 Association for Symbolic Logic

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Vol.75 • No. 2 • June 2010
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