Quasi-localizations of \(\mathbb{Z}\).

DOI10.1007/S11856-007-0066-YzbMath1139.20049OpenAlexW1990114570MaRDI QIDQ2480578

Manfred Dugas, Joshua Buckner

Publication date: 1 April 2008

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11856-007-0066-y

zbMATH Keywords

Black BoxE-ringsforcing familiesquasi-categories of Abelian groupsquasi-localizations

Mathematics Subject Classification ID

Torsion-free groups, infinite rank (20K20) Automorphisms, homomorphisms, endomorphisms, etc. for abelian groups (20K30) Homological and categorical methods for abelian groups (20K40) Torsion-free groups, finite rank (20K15)

Related Items (6)

Left rigid rings. ⋮ Zassenhaus rings as idealizations of modules ⋮ Rings with Zassenhaus Families of Ideals ⋮ Zassenhaus algebras. ⋮ Idempotent functors and localizations in categories of modules and Abelian groups. ⋮ Local multiplication maps on F[x]

Cites Work

• Torsion-free E-modules
• Cardinality and nilpotency of localizations of groups and \(G\)-modules
• Localizations of torsion-free Abelian groups. II.
• Large E-rings exist
• Localizations of torsion-free Abelian groups.
• A theorem of M. C. R. Butler for Dedekind domains
• Endomorphism algebras of vector spaces with distinguished sets of subspaces
• On localizations of torsion abelian groups
• Orders as Endomorphism Rings of Modules of the Same Rank
• On Locally Free Torsion-Free Rings of Finite Rank
• Every Countable Reduced Torsion-Free Ring is an Endomorphism Ring
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