Countable mixed Abelian groups with very nice full-rank subgroups

DOI10.1007/BF02772953zbMath0578.20051MaRDI QIDQ1066279

Manfred Dugas, Rüdiger Göbel

Publication date: 1985

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

endomorphism ringsWarfield groupsdirect sum of cyclic p-groupsfree valuated subgrouptotally projective torsion group

Mathematics Subject Classification ID

Automorphisms, homomorphisms, endomorphisms, etc. for abelian groups (20K30) Subgroups of abelian groups (20K27) Mixed groups (20K21)

Related Items (3)

The construction of mixed modules from torsion-free modules ⋮ The construction of mixed modules from a theorem of linear algebra ⋮ Abelian groups

Cites Work

• On endomorphism rings of primary Abelian groups
• Every cotorsion-free algebra is an endomorphism algebra
• Endomorphisms of abelian groups and the theorem of Baer and Kaplansky
• Prescribing Endomorphism Algebras, a Unified Treatment
• Modules Over an Incomplete Discrete Valuation Ring
• Every Countable Reduced Torsion-Free Ring is an Endomorphism Ring
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