Abelian groups flat as modules over their endomorphism ring

DOI10.1080/00927879308824739zbMath0793.20051OpenAlexW1978442492MaRDI QIDQ3136845

Theodore G. Faticoni, Ulrich F. Albrecht

Publication date: 6 October 1993

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

Full work available at URL: https://doi.org/10.1080/00927879308824739

zbMATH Keywords

moduleshomogeneous completely decomposable groupsendomorphism ringfaithfully flattorsion-free abelian group of finite rank

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) Free, projective, and flat modules and ideals in associative algebras (16D40) Automorphisms, homomorphisms, endomorphisms, etc. for abelian groups (20K30) Homological and categorical methods for abelian groups (20K40) Torsion-free groups, finite rank (20K15)

Related Items (4)

The quasi-Baer-splitting property for mixed Abelian groups. ⋮ The flat dimension of mixed abelian groups as \(E\)-modules ⋮ Homomorphisms between A-Projective Abelian Groups and Left Kasch-Rings ⋮ Direct sums and refinement

Cites Work

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• Finite rank torsion free Abelian groups and rings
• Abelian groups, \(A\), such that \(\Hom(A,-)\) preserves direct sums of copies of \(A\)
• Endomorphism rings and a generalization of torsion-freeness and purity
• On the lattice of right ideals of the endomorphism ring of an abelian group
• Every Cotorsion-Free Ring is an Endomorphism Ring
• Prescribing Endomorphism Algebras, a Unified Treatment
• Every Countable Reduced Torsion-Free Ring is an Endomorphism Ring

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