A torsion-free abelian group of finite rank exists whose quotient group modulo the square subgroup is not a nil-group

DOI10.2989/16073606.2017.1391354zbMath1406.20050OpenAlexW2767213208MaRDI QIDQ3177638

Mateusz Woronowicz, Ryszard R. Andruszkiewicz

Publication date: 1 August 2018

Published in: Quaestiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2989/16073606.2017.1391354

zbMATH Keywords

abelian groupsadditive groups of ringsnil-groupssquare subgroups

Mathematics Subject Classification ID

Ideals and multiplicative ideal theory in commutative rings (13A15) Conditions on elements (16U99) General nonassociative rings (17A99) Subgroups of abelian groups (20K27) Torsion-free groups, finite rank (20K15)

Related Items (4)

A simple solution of Stratton and Webb’s problem ⋮ New examples of indecomposable torsion-free abelian groups of finite rank and rings on them ⋮ The classification of fully filial torsion-free rings ⋮ A note on Feigelstock's conjecture on the equivalence of the notions of nil and associative nil groups in the context of additive groups of rings of finite rank

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