Abelian groups with semi-simple Artinian quasi-endomorphism rings

DOI10.1216/RMJM/1181072376zbMath0829.20077OpenAlexW2067515749MaRDI QIDQ1343992

Ulrich F. Albrecht

Publication date: 15 January 1996

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

Full work available at URL: https://doi.org/10.1216/rmjm/1181072376

zbMATH Keywords

direct sumstorsion-free Abelian groupsradicalsoclequasi-summandsfinite quasi-Baer splitting propertyquasi projective groupsquasi- equal groupsquasi-splitting short exact sequencesradical-splitting propertyself-small groupssemi-simple Artinian quasi-endomorphism ringssocle splitting property

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) 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) Torsion-free groups, finite rank (20K15)

Related Items (1)

Torsion-Free Ext

Cites Work

• Unnamed Item
• Chain conditions in endomorphism rings
• Finite rank torsion free Abelian groups and rings
• On the quasi-splitting of exact sequences
• Abelian groups, \(A\), such that \(\Hom(A,-)\) preserves direct sums of copies of \(A\)
• Quasi-decomposition of abelian groups and Baer's lemma
• Abelian groups without elements of finite order
• On direct decompositions of torsionfree Abelian groups
• Endomorphism Rings and Direct Sums of Torsion Free Abelian Groups
• A Dual to Baer's Lemma
• Orders as Endomorphism Rings of Modules of the Same Rank
• Every Countable Reduced Torsion-Free Ring is an Endomorphism Ring

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