Finite Rank Torsion-Free Abelian Groups Uniserial over their Endomorphism Rings

DOI10.2307/2044751zbMath0534.20034OpenAlexW4239173922MaRDI QIDQ3317293

Jutta Hausen

Publication date: 1985

Full work available at URL: https://doi.org/10.2307/2044751

zbMATH Keywords

endomorphism ringlattice of fully invariant subgroupsstrongly homogeneous groupsE-uniserial abelian groupFinite rank torsion-free reduced abelian groupsstrongly indecomposable discrete valuation domain

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) Automorphisms, homomorphisms, endomorphisms, etc. for abelian groups (20K30) Torsion-free groups, finite rank (20K15)

Related Items

The center of the endomorphism ring of a split mixed Abelian group ⋮ \(E\)-rings as localizations of orders ⋮ Abelian groups ⋮ E-locally cyclic abelian groups and maximal near-rings of mappings ⋮ E-transitive torsion-free Abelian groups

Cites Work

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• Unital rings whose additive endomorphisms commute
• The Additive Group of Rings With Totally Ordered Ideal Lattices
• THE ADDITIVE GROUPS OF RINGS WITH TOTALLY ORDERED LATTICE OF IDEALS
• Strongly Homogeneous Torsion Free Abelian Groups of Finite Rank
• The endomorphism ring of the additive group of a ring

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