Pure subgroups of \(A\)-projective groups

DOI10.1007/BF01875149zbMath0814.20038MaRDI QIDQ1333074

Pat Goeters, Ulrich F. Albrecht

Publication date: 17 May 1995

Published in: Acta Mathematica Hungarica (Search for Journal in Brave)

zbMATH Keywords

flat modulespure subgroupshomogeneous completely decomposable groupsdirect sumendomorphism ringfinite ranksemi-hereditary ringsquasi-splittingsummandsquasi- endomorphism ringquasi-summands\(A\)-projective groupsBaer's splitting theorempure soclesstrongly non-singular ringtorsion-free abelian

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) Free, projective, and flat modules and ideals in associative algebras (16D40) 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)

Cites Work

• Endomorphism rings of faithfully flat Abelian groups
• Finite rank torsion free Abelian groups and rings
• On the quasi-splitting of exact sequences
• Abelian groups without elements of finite order
• Endomorphism rings and a generalization of torsion-freeness and purity
• On torision-free ext
• Endomorphism Rings and Direct Sums of Torsion Free Abelian Groups
• A Dual to Baer's Lemma
• Every Cotorsion-Free Ring is an Endomorphism Ring
• Unnamed Item

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