MODNET - Preprint Number 1452

Preprint Number 1452

1452. Frank Olaf Wagner (AGL), Jan Dobrowolski
On omega-categorical groups and rings of finite burden. (Former title: On inp-minimal omega-categorical groups and rings )
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Submission date: 27 June 2018. Revised 14 September 2018.

Abstract:

An ω-categorical inp-minimal group is virtually finite-by-abelian; an ω-categorical inp-minimal ring is virtually finite-by-null; an ω-categorical NTP 2 ring is virtually nilpotent.

Mathematics Subject Classification:

Keywords and phrases:

Full text arXiv 1806.10462: pdf, ps.