Quasi-decomposition of abelian groups and Baer's lemma

DOI10.1216/rmjm/1181072651zbMath0798.20049OpenAlexW2087973301WikidataQ125052918 ScholiaQ125052918MaRDI QIDQ1802690

Ulrich F. Albrecht

Publication date: 29 June 1993

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1216/rmjm/1181072651

zbMATH Keywords

typessoclesalmost completely decomposable groupdirect summandfinite direct sumfinite rank torsion-free abelian groupquasi- splittingquasi-\(A\)-projectivequasi-Baer-splitting propertyquasi-decompositionstrongly indecomposable summands

Mathematics Subject Classification ID

Automorphisms, homomorphisms, endomorphisms, etc. for abelian groups (20K30) Homological and categorical methods for abelian groups (20K40) Direct sums, direct products, etc. for abelian groups (20K25) Subgroups of abelian groups (20K27) Torsion-free groups, finite rank (20K15)

Related Items (9)

The quasi-Baer-splitting property for mixed Abelian groups. ⋮ Abelian groups with semi-simple Artinian quasi-endomorphism rings ⋮ Abelian groups with self-injective quasi-endomorphism rings. ⋮ On the quasi-splitting of exact sequences ⋮ When every self-small module is finitely generated. ⋮ Finite extensions of \(A\)-solvable Abelian groups ⋮ Quasi-decompositions for Self-Small Abelian Groups ⋮ A Morita type theorem for a sort of quotient categories ⋮ The finite quasi-Baer property.

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Endomorphism rings of faithfully flat Abelian groups
• Finite rank torsion free Abelian groups and rings
• Abelian groups, \(A\), such that \(\Hom(A,-)\) preserves direct sums of copies of \(A\)
• Abelian groups without elements of finite order
• On direct decompositions of torsionfree Abelian groups
• Expansion of the Confluent Hypergeometric Function in Series of Bessel Functions
• 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

This page was built for publication: Quasi-decomposition of abelian groups and Baer's lemma