\(E\)-rings as localizations of orders

DOI10.1007/BF01903677zbMath0763.16015OpenAlexW2025190312MaRDI QIDQ1187270

Theodore G. Faticoni

Publication date: 28 June 1992

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

Full work available at URL: https://doi.org/10.1007/bf01903677

zbMATH Keywords

number fieldsmaximal idealsalgebraic integerslocalizationsfield of fractionslattice of subringsrigid class of \(E\)-ringstorsion-free \(E\)-rings of finite rank

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) Algebraic numbers; rings of algebraic integers (11R04) Separable algebras (e.g., quaternion algebras, Azumaya algebras, etc.) (16H05) Automorphisms, homomorphisms, endomorphisms, etc. for abelian groups (20K30) Torsion-free groups, finite rank (20K15)

Related Items (3)

On torision-free ext ⋮ Examples of torsion-free groups flat as modules over their endomorphism rings ⋮ Duality and self-reflexive torsion-free Abelian groups

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Torsion-free E-modules
• Finite rank torsion free Abelian groups and rings
• Large E-rings exist
• Finite Rank Torsion-Free Abelian Groups Uniserial over their Endomorphism Rings
• Each countable reduced torsion-free commutative ring is a pure subring of an e-ring
• The endomorphism ring of the additive group of a ring

This page was built for publication: \(E\)-rings as localizations of orders