Endomorphism rings and a generalization of torsion-freeness and purity

DOI10.1080/00927878908823776zbMath0691.20040OpenAlexW2151599911MaRDI QIDQ3032492

Ulrich F. Albrecht

Publication date: 1989

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

Full work available at URL: https://doi.org/10.1080/00927878908823776

zbMATH Keywords

endomorphism ringA- torsion-freenessA-projective modulesA-purityseparable torsion-free abelian groupssummands of direct sums

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) Torsion-free groups, infinite rank (20K20) Automorphisms, homomorphisms, endomorphisms, etc. for abelian groups (20K30)

Related Items

Pure subgroups of \(A\)-projective groups ⋮ Butler theory over Murley groups ⋮ Properties of Abelian Groups Determined by Their Endomorphism Ring ⋮ Abelian groups ⋮ Noetherian stable domains ⋮ The construction of $A$-solvable Abelian groups ⋮ Abelian groups flat as modules over their endomorphism ring

Cites Work

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• Endomorphism rings of faithfully flat Abelian groups
• A note on locally A-projective groups
• Chain conditions in endomorphism rings
• Localizations of endomorphism rings and fixpoints
• A flatnes s criterion in Grothendieck categories
• Three examples concerning the ore condition in Noetherian rings
• Every Cotorsion-Free Ring is an Endomorphism Ring
• Orders as Endomorphism Rings of Modules of the Same Rank
• Modules with the summand intersection property

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