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Journal Articles Israel Journal of Mathematics Year : 2020

On omega-categorical groups and rings of finite burden

Frank Olaf Wagner
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  • PersonId : 872579
Jan Dobrowolski
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  • PersonId : 1033703

Abstract

An ω-categorical group of finite burden is virtually finite-by-abelian; an ω-categorical ring of finite burden is virtually finite-by-null; an ω-categorical NTP2 ring is virtually nilpotent.
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Dates and versions

hal-01822386 , version 1 (25-06-2018)
hal-01822386 , version 2 (12-09-2018)
hal-01822386 , version 3 (19-11-2018)
hal-01822386 , version 4 (05-03-2019)
hal-01822386 , version 5 (07-05-2019)

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Cite

Frank Olaf Wagner, Jan Dobrowolski. On omega-categorical groups and rings of finite burden. Israel Journal of Mathematics, 2020, 236, pp.801-839. ⟨10.1007/s11856-020-1989-9⟩. ⟨hal-01822386v5⟩
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