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stable field

Journal of the Institute of Mathematics of Jussieu (1)

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1 results

On stable fields and weight
Part of
- Model theory
Krzysztof Krupiński, Anand Pillay
Journal:

Journal of the Institute of Mathematics of Jussieu / Volume 10 / Issue 2 / April 2011

Published online by Cambridge University Press:

01 July 2010, pp. 349-358

Print publication:

April 2011
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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).