Some New Results for the Square Subgroup of an Abelian Group

DOI10.1080/00927872.2015.1044107zbMath1347.20059OpenAlexW2343919030MaRDI QIDQ2815396

Mateusz Woronowicz, Ryszard R. Andruszkiewicz

Publication date: 28 June 2016

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00927872.2015.1044107

zbMATH Keywords

mixed Abelian groupsAbelian torsion groupsadditive groups of ringsassociative ring multiplicationsnil-groupsring multiplicationssquare subgroup

Mathematics Subject Classification ID

Conditions on elements (16U99) Torsion groups, primary groups and generalized primary groups (20K10) Subgroups of abelian groups (20K27) Mixed groups (20K21)

Related Items

A torsion-free abelian group of finite rank exists whose quotient group modulo the square subgroup is not a nil-group ⋮ On the square subgroups of decomposable torsion-free abelian groups of rank three. ⋮ A simple solution of Stratton and Webb’s problem ⋮ On the Square Subgroup of a MixedSI-Group ⋮ A TORSION-FREE ABELIAN GROUP EXISTS WHOSE QUOTIENT GROUP MODULO THE SQUARE SUBGROUP IS NOT A NIL-GROUP ⋮ Absolute ideals of algebraically compact abelian groups ⋮ 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 ⋮ Unnamed Item ⋮ A note on the square subgroups of decomposable torsion-free abelian groups of rank three ⋮ On additive groups of associative and commutative rings

Cites Work

• Square submodule of a module
• On Associative Ring Multiplication on Abelian Mixed Groups
• Square subgroups of rank two abelian groups
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