On the quasi-splitting of exact sequences

DOI10.1016/0021-8693(91)90108-KzbMath0749.20029MaRDI QIDQ1180648

Ulrich F. Albrecht

Publication date: 27 June 1992

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

zbMATH Keywords

direct sumsexact sequencegroups of finite ranktorsion-free groupright annihilatorfinitely related right \(E(A)\)-modulesquasi-endomorphismquasi-summandsSzele-property

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) Homological and categorical methods for abelian groups (20K40) Direct sums, direct products, etc. for abelian groups (20K25) Torsion-free groups, finite rank (20K15)

Related Items (5)

Pure subgroups of \(A\)-projective groups ⋮ Abelian groups with semi-simple Artinian quasi-endomorphism rings ⋮ Abelian groups with self-injective quasi-endomorphism rings. ⋮ Homomorphisms between A-Projective Abelian Groups and Left Kasch-Rings ⋮ The finite quasi-Baer property.

Cites Work

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• Bewertete p-Gruppen und ein Satz von Szele
• Abelian groups, \(A\), such that \(\Hom(A,-)\) preserves direct sums of copies of \(A\)
• Quasi-decomposition of abelian groups and Baer's lemma
• Note on extensions of Abelian groups by primary groups
• On direct decompositions of torsionfree Abelian groups
• Finitistic Dimension and a Homological Generalization of Semi-Primary Rings
• Examples of torsion-free groups flat as modules over their endomorphism rings
• Baer's Lemma and Fuchs' Problem 84a
• Faithful Abelian Groups of Infinite Rank
• A Note on Torsion Free Abelian Groups of Infinite Rank
• Endomorphism Rings and Direct Sums of Torsion Free Abelian Groups
• A Dual to Baer's Lemma

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