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On stable fields and weight

Published online by Cambridge University Press:  01 July 2010

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])

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).

Type
Research Article
Copyright
Copyright © Cambridge University Press 2010

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