On additive groups of associative and commutative rings

DOI10.2989/16073606.2017.1302019zbMath1423.20061OpenAlexW2607272663MaRDI QIDQ5236088

Mateusz Woronowicz, Ryszard R. Andruszkiewicz

Publication date: 15 October 2019

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

Full work available at URL: https://doi.org/10.2989/16073606.2017.1302019

zbMATH Keywords

abelian groupsadditive groups of rings

Mathematics Subject Classification ID

Ideals and multiplicative ideal theory in commutative rings (13A15) Torsion-free groups, infinite rank (20K20) Torsion groups, primary groups and generalized primary groups (20K10) Torsion-free groups, finite rank (20K15) Mixed groups (20K21)

Related Items (8)

ABELIAN SACR-GROUPS ⋮ A torsion-free abelian group of finite rank exists whose quotient group modulo the square subgroup is not a nil-group ⋮ A simple solution of Stratton and Webb’s problem ⋮ Multiplication groups of abelian torsion-free groups of finite rank ⋮ New examples of indecomposable torsion-free abelian groups of finite rank and rings on them ⋮ 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 ⋮ On the nil R-mod abelian groups ⋮ A note on the square subgroups of decomposable torsion-free abelian groups of rank three

Cites Work

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• A note on additive groups of some specific associative rings
• Note on extensions of Abelian groups by primary groups
• Some New Results for the Square Subgroup of an Abelian Group
• Additive groups of rings whose subrings are ideals
• Additive Groups of Commutative Rings
• The Classification of Integral Domains in Which the Relation of Being an Ideal Is Transitive
• ON SI-GROUPS
• Summands of Separable Abelian Groups: Dedicated to Paul Turán on his 60th Birthday

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