Research Training Network in Model Theory
Publications > Preprint server > Preprint Number 87

Preprint Number 87

Previous Next Preprint server

87. Markus Junker, Jochen Koenigsmann
Schlanke Körper (slim fields)
E-mail: ,

Submission date: 20 September 2007


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.

Mathematics Subject Classification: 03C60, 12E99

Keywords and phrases: algebraic closure in fields, independence relations, henselian fields

Full text: pdf, dvi, ps.

Last updated: October 20 2009 12:58 Please send your corrections to: