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On ω-categorical, generically stable groups and rings
Annals of Pure and Applied Logic 164 (7-8):802-812 (2013)
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-finiteOther Versions
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References found in this work
Superrosy dependent groups having finitely satisfiable generics.Clifton Ealy, Krzysztof Krupiński & Anand Pillay - 2008 - Annals of Pure and Applied Logic 151 (1):1-21.
Supersimple ω-categorical groups and theories.David Evans & Frank Wagner - 2000 - Journal of Symbolic Logic 65 (2):767-776.
Generic stability and stability.Hans Adler, Enrique Casanovas & Anand Pillay - 2014 - Journal of Symbolic Logic 79 (1):179-185.
On ω-categorical, generically stable groups.Jan Dobrowolski & Krzysztof Krupiński - 2012 - Journal of Symbolic Logic 77 (3):1047-1056.
On relationships between algebraic properties of groups and rings in some model-theoretic contexts.Krzysztof Krupiński - 2011 - Journal of Symbolic Logic 76 (4):1403-1417.
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