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arxiv: 1806.10462 · v3 · pith:ZK5ZCJQYnew · submitted 2018-06-27 · 🧮 math.LO · math.GR

On omega-categorical groups and rings of finite burden

classification 🧮 math.LO math.GR
keywords burdencategoricalfiniteomegavirtuallyringfinite-by-abelianfinite-by-null
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An $\omega$-categorical group of finite burden is virtually finite-by-abelian; an $\omega$-categorical ring of finite burden is virtually finite-by-null; an $\omega$-categorical NTP2 ring is virtually nilpotent.

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