Gabriel filters on the endomorphism ring of a torsion-free abelian group

DOI10.1080/00927879008824055zbMath0713.20049OpenAlexW2005093981MaRDI QIDQ3198012

Theodore G. Faticoni

Publication date: 1990

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

Full work available at URL: https://doi.org/10.1080/00927879008824055

zbMATH Keywords

endomorphism ringidempotent idealsquasi-endomorphism ringGabriel filterquasi-isomorphism classestorsion-free abelian group of finite rankquasi-decompositioncentral quasi-summandstrongly indecomposable quasi-summand

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) Automorphisms, homomorphisms, endomorphisms, etc. for abelian groups (20K30) Direct sums, direct products, etc. for abelian groups (20K25) Torsion-free groups, finite rank (20K15)

Related Items (2)

Torsion-free Abelian groups torsion over their endomorphism rings ⋮ Abelian groups

Cites Work

• Unnamed Item
• Semi-local localizations of rings and subdirect decompositions of modules
• Finite rank torsion free Abelian groups and rings
• Endomorphism rings and subgroups of finite rank torsion-free Abelian groups
• Abelian groups, \(A\), such that \(\Hom(A,-)\) preserves direct sums of copies of \(A\)
• On the lattice of right ideals of the endomorphism ring of an abelian group
• On torision-free ext
• On subcommutative rings
• On Locally Free Torsion-Free Rings of Finite Rank
• Modules with the summand intersection property

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