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Preprint Number 418

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418. Jan Dobrowolski and Krzysztof Krupinski
On ω-categorical, generically stable groups and rings
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Submission date: 10 February 2012.

Abstract:

We prove that every ω-categorical, generically stable group is nilpotent-by-finite and that every ω-categorical, generically stable ring is nilpotent-by-finite.

Mathematics Subject Classification: 03C45, 03C35, 20A15

Keywords and phrases: ω-categorical group, ω-categorical ring, generic stability

Full text arXiv 1202.2327: pdf, ps.


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