Fully transitive torsion-free Abelian groups

DOI10.1007/BF02215284zbMath0739.20025MaRDI QIDQ1814496

Piotr A. Krylov

Publication date: 25 June 1992

Published in: Algebra and Logic (Search for Journal in Brave)

zbMATH Keywords

subgroupautomorphismendomorphismtorsion-free abelian groupquasi- endomorphism ringheight sequencesfully transitive grouphomogeneous fully transitive grouppure fully invariant subgroup

Mathematics Subject Classification ID

Torsion-free groups, infinite rank (20K20) Automorphisms, homomorphisms, endomorphisms, etc. for abelian groups (20K30) Direct sums, direct products, etc. for abelian groups (20K25) Subgroups of abelian groups (20K27)

Related Items (11)

FULLY TRANSITIVE, TRANSITIVE ABELIAN GROUPS AND SOME THEIR GENERALIZATIONS ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Modules over discrete valuation domains. III ⋮ Unnamed Item ⋮ On L. Fuchs' problems 17 and 43. ⋮ Modules over discrete valuation domains. I ⋮ On some properties of endomorphism rings of abelian groups ⋮ On projectively fully transitive abelian groups ⋮ Modules over discrete valuation domains. II ⋮ Full transitivity of Abelian groups.

Cites Work

• Strongly homogeneous torsion-free Abelian groups
• Large E-rings exist
• E-transitive torsion-free Abelian groups
• Strongly Homogeneous Torsion Free Abelian Groups of Finite Rank
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