A generalization of Baer's splitting problem on Abelian groups

DOI10.1007/BF01170940zbMath0678.20034OpenAlexW2041350276MaRDI QIDQ1123980

László Fuchs

Publication date: 1989

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/155419

zbMATH Keywords

categorytypeExtcharacteristicHomtorsion-free abelian groupscontinuous well-ordered ascending chain of pure subgroupsBaer's problem

Mathematics Subject Classification ID

Torsion-free groups, infinite rank (20K20) Extensions of abelian groups (20K35) Homological and categorical methods for abelian groups (20K40)

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László Fuchs' 70th birthday, Abelian groups

Cites Work

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• Abelian group extensions and the axiom of constructibility
• Baer modules over valuation domains
• Incompactness in regular cardinals
• New aspects for two classical theorems on torsion splitting*
• A Solution to the Splitting Mixed Group Problem of Baer