On relationships between algebraic properties of groups and rings in some model-theoretic contexts

Journal of Symbolic Logic 76 (4):1403-1417 (2011)
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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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10.2178/jsl/1318338856

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Citations of this work

Omega-Categorical Pseudofinite Groups.Dugald Macpherson & Katrin Tent - forthcoming - Journal of Symbolic Logic:1-14.
On ω-categorical, generically stable groups and rings.Jan Dobrowolski & Krzysztof Krupiński - 2013 - Annals of Pure and Applied Logic 164 (7-8):802-812.

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References found in this work

Supersimple ω-categorical groups and theories.David Evans & Frank Wagner - 2000 - Journal of Symbolic Logic 65 (2):767-776.
Small profinite groups.Ludomir Newelski - 2001 - Journal of Symbolic Logic 66 (2):859-872.

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