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On stable fields and weight

Part of: Model theory

Published online by Cambridge University Press:  01 July 2010

Krzysztof Krupiński  and
Anand Pillay
Krzysztof Krupiński
Affiliation:
Instytut Matematyczny Uniwersytetu Wrocławskiego, pl. Grunwaldzki 2/4, 50-384 Wrocław, Poland ([email protected])
Anand Pillay
Affiliation:
Department of Pure Mathematics, University of Leeds, Leeds LS2 9JT, UK ([email protected])
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Abstract

We prove that if K is an (infinite) stable field whose generic type has weight 1, then K is separably closed. We also obtain some partial results about stable groups and fields whose generic type has finite weight, as well as about strongly stable fields (where by definition all types have finite weight).

Keywords

stable fieldweightgeneric type

MSC classification

Secondary: 03C45: Classification theory, stability and related concepts 03C60: Model-theoretic algebra
Type
Research Article
Information
Journal of the Institute of Mathematics of Jussieu , Volume 10 , Issue 2 , April 2011 , pp. 349 - 358
Copyright
Copyright © Cambridge University Press 2010

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