Kaplansky’s “infinite abelian groups” and its two test problems

DOI10.1080/00927872.2019.1705472zbMath1480.20123OpenAlexW3000434568MaRDI QIDQ5220674

Alexander F. Shaw, Patrick W. Keef

Publication date: 27 March 2020

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

Full work available at URL: https://doi.org/10.1080/00927872.2019.1705472

zbMATH Keywords

valuationsdirect sums of cyclicsisometriesprojectivesKaplansky test problems

Mathematics Subject Classification ID

Torsion groups, primary groups and generalized primary groups (20K10) Direct sums, direct products, etc. for abelian groups (20K25)

Cites Work

• The Lattice of U-Sequences of an Abelian p-Group
• Jacobson Radical Isomorphism Theorems for Mixed Modules Part One: Determining the Torsion
• On p^ω+1 -Projective p -Groups
• On May Modules of Finite Rank and the Jacobson Radicals of Their Endomorphism Rings
• Abelian Groups
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