E-transitive torsion-free Abelian groups

DOI10.1016/0021-8693(87)90069-XzbMath0616.20027MaRDI QIDQ1821206

Jutta Hausen

Publication date: 1987

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

zbMATH Keywords

centerendomorphism ringE-transitive groupspure rank-one subgroupsstrongly homogeneous groupstrongly homogeneous p.i.d.

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) Principal ideal rings (13F10) Torsion-free groups, infinite rank (20K20) Automorphisms, homomorphisms, endomorphisms, etc. for abelian groups (20K30)

Related Items (10)

FULLY TRANSITIVE, TRANSITIVE ABELIAN GROUPS AND SOME THEIR GENERALIZATIONS ⋮ \(E(R)\)-algebras that are sharply transitive modules. ⋮ A class of commutative rings ⋮ On L. Fuchs' problems 17 and 43. ⋮ On some properties of endomorphism rings of abelian groups ⋮ Abelian groups ⋮ Examples of torsion-free groups flat as modules over their endomorphism rings ⋮ Fully invariant subgroups, full transitivity, and homomorphism groups of Abelian groups. ⋮ Full transitivity of Abelian groups. ⋮ Fully transitive torsion-free Abelian groups

Cites Work

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• Strongly homogeneous torsion-free Abelian groups
• Unital rings whose additive endomorphisms commute
• Note on extensions of Abelian groups by primary groups
• Finite Rank Torsion-Free Abelian Groups Uniserial over their Endomorphism Rings
• Endomorphism Rings and Direct Sums of Torsion Free Abelian Groups
• Strongly Homogeneous Torsion Free Abelian Groups of Finite Rank
• Summands of Separable Abelian Groups: Dedicated to Paul Turán on his 60th Birthday
• The endomorphism ring of the additive group of a ring

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