Abstract
AbstractWe study relationships between certain algebraic properties of groups and rings definable in a first order structure or *-closed in a compact G-space. As a consequence, we obtain a few structural results about ω-categorical rings as well as about small, nm-stable compact G-rings, and we also obtain surprising relationships between some conjectures concerning small profinite groups.
Publisher
Cambridge University Press (CUP)
Cited by
4 articles.
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1. On ω-categorical groups and rings of finite burden;Israel Journal of Mathematics;2020-03
2. Locally finite profinite rings;Journal of Algebra;2014-03
3. On ω -categorical, generically stable groups and rings;Annals of Pure and Applied Logic;2013-08
4. On -categorical groups and rings with NIP;Proceedings of the American Mathematical Society;2011-11-18