Faithful Abelian Groups of Infinite Rank

DOI10.2307/2047520zbMath0646.20042OpenAlexW4232299487MaRDI QIDQ3789781

Ulrich F. Albrecht

Publication date: 1988

Full work available at URL: https://doi.org/10.2307/2047520

zbMATH Keywords

direct sumepimorphismtorsion-free abelian group

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) Torsion-free groups, infinite rank (20K20) Automorphisms, homomorphisms, endomorphisms, etc. for abelian groups (20K30) Direct sums, direct products, etc. for abelian groups (20K25)

Related Items (10)

The flat dimension of mixed abelian groups as \(E\)-modules ⋮ Tensor products and endomorphism rings of finite valuated groups ⋮ Torsion-free Abelian groups torsion over their endomorphism rings ⋮ Abelian groups with self-injective quasi-endomorphism rings. ⋮ Properties of Abelian Groups Determined by Their Endomorphism Ring ⋮ On the quasi-splitting of exact sequences ⋮ Abelian groups ⋮ Quasi-decomposition of abelian groups and Baer's lemma ⋮ Unnamed Item ⋮ The construction of $A$-solvable Abelian groups

Cites Work

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• A note on locally A-projective groups
• Torsion-free rings
• Finite rank torsion free Abelian groups and rings
• Abelian groups, \(A\), such that \(\Hom(A,-)\) preserves direct sums of copies of \(A\)
• Rings all of whose finitely generated modules are injective
• Abelian groups without elements of finite order
• Baer's Lemma and Fuchs' Problem 84a
• Endomorphism Rings and Direct Sums of Torsion Free Abelian Groups
• Every Cotorsion-Free Ring is an Endomorphism Ring
• The endomorphism ring of the additive group of a ring

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