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arXiv 2010-07-04 0 views

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

Krupinski, Krzysztof

Original · EN

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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