Strongly homogeneous torsion-free Abelian groups

DOI10.1007/BF00968737zbMath0536.20038MaRDI QIDQ791668

Piotr A. Krylov

Publication date: 1983

Published in: Siberian Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

centerendomorphism ringfinite rank strongly homogeneous groupsstrongly homogeneous ringstrongly homogeneous torsion free group

Mathematics Subject Classification ID

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

Related Items (17)

A class of Abelian groups with hereditary rings of endomorphisms ⋮ Influence of the Baer-Kaplansky theorem on the development of the theory of groups, rings, and modules ⋮ Quasipure injective torsion-free Abelian groups ⋮ Abelian groups in Russia. ⋮ The center of the endomorphism ring of a split mixed Abelian group ⋮ Modules over discrete valuation domains. III ⋮ Unnamed Item ⋮ On L. Fuchs' problems 17 and 43. ⋮ Modules over discrete valuation domains. I ⋮ Abelian groups ⋮ Fully invariant subgroups, full transitivity, and homomorphism groups of Abelian groups. ⋮ Around the Baer-Kaplansky theorem ⋮ Modules over discrete valuation domains. II ⋮ Full transitivity of Abelian groups. ⋮ Fully transitive torsion-free Abelian groups ⋮ E-transitive torsion-free Abelian groups ⋮ Locally irreducible rings

Cites Work

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• The endomorphism ring of an Abelian torsionfree homogeneous separable group
• Quasi-pure projective and injective torsion free Abelian groups of rank 2
• Torsion-free Abelian groups with isomorphic endomorphism rings
• The classification of certain classes of torsion free Abelian groups
• Strongly Homogeneous Torsion Free Abelian Groups of Finite Rank

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