Omega-categorical groups and rings of finite dimension

Fuente: arXiv
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Main Author: Invitti, Moreno
Format: Preprint
Published: 2025
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author Invitti, Moreno
author_facet Invitti, Moreno
contents We prove that a finite-dimensional omega-categorical group is finite-by-abelian-by-finite and that a finite-dimensional omega-categorical ring is virtually finite-by-null.
format Preprint
id arxiv_https___arxiv_org_abs_2511_07492
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Omega-categorical groups and rings of finite dimension
Invitti, Moreno
Group Theory
Logic
We prove that a finite-dimensional omega-categorical group is finite-by-abelian-by-finite and that a finite-dimensional omega-categorical ring is virtually finite-by-null.
title Omega-categorical groups and rings of finite dimension
topic Group Theory
Logic
url https://arxiv.org/abs/2511.07492