Baer's Lemma and Fuchs' Problem 84a

DOI10.2307/2000022zbMath0592.20058OpenAlexW4247817247WikidataQ124805498 ScholiaQ124805498MaRDI QIDQ3720822

Ulrich F. Albrecht

Publication date: 1986

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2000022

zbMATH Keywords

direct sumsdirect summandA-socleA-projective groupBaer's LemmaFuchs' problem 84aself-smalltorsion-free, reduced, indecomposable 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) Subgroups of abelian groups (20K27) Mixed groups (20K21) Abelian groups (20K99)

Related Items (13)

Almost flat abelian groups ⋮ Butler theory over Murley groups ⋮ Abelian groups with self-injective endomorphism rings ⋮ On the lattice of right ideals of the endomorphism ring of an abelian group ⋮ Endomorphism rings of faithfully flat Abelian groups ⋮ Properties of Abelian Groups Determined by Their Endomorphism Ring ⋮ On the quasi-splitting of exact sequences ⋮ Abelian groups ⋮ Modules with the quasi-summand intersection property ⋮ Quasi-decomposition of abelian groups and Baer's lemma ⋮ Unnamed Item ⋮ Faithful Abelian Groups of Infinite Rank ⋮ \(*^s\)-modules.

This page was built for publication: Baer's Lemma and Fuchs' Problem 84a