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Schlanke Körper (Slim fields)
Published online by Cambridge University Press: 12 March 2014
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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- Copyright © Association for Symbolic Logic 2010
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