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On relationships between algebraic properties of groups and rings in some model-theoretic contexts
Published online by Cambridge University Press: 12 March 2014
Abstract
We 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.
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- Research Article
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- Copyright © Association for Symbolic Logic 2011
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