On the Bassian property for abelian groups

DOI10.1007/S00013-021-01655-4zbMath1497.20058OpenAlexW3200705297MaRDI QIDQ2052359

Brendan Goldsmith, Andrey R. Chekhlov, Peter V. Danchev

Publication date: 26 November 2021

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00013-021-01655-4

zbMATH Keywords

rankabelian groupHopfian groupBassian group

Mathematics Subject Classification ID

Torsion-free groups, infinite rank (20K20) Commutative rings and modules of finite generation or presentation; number of generators (13E15) Torsion groups, primary groups and generalized primary groups (20K10) Mixed groups (20K21)

Related Items (2)

On the generalized Bassian property for abelian groups ⋮ Co-Bassian and generalized co-Bassian abelian groups

Cites Work

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• The flat dimension of mixed abelian groups as \(E\)-modules
• Regular and principal projective endomorphism rings of mixed abelian groups
• A Finiteness Property of Affine Algebras
• Abelian Groups

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