Elementary divisor domains as endomorphism rings

DOI10.1007/978-3-030-38565-1_3zbMATH Open1547.13017MaRDI QIDQ6547660

Laszlo Fuchs

Publication date: 30 May 2024

zbMATH Keywords

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Mathematics Subject Classification ID

Integral domains (13G05) Structure, classification theorems for modules and ideals in commutative rings (13C05)

Cites Work

• Title not available (Why is that?)
• Projective modules
• Global Azumaya theorems in additive categories
• Every cotorsion-free algebra is an endomorphism algebra
• Krull-Schmidt theorem and semilocal endomorphism rings
• On torsion-free abelian groups whose endomorphism rings are principal ideal domains
• On bézout domains, elementary divisor rings, and pole assignability
• Prescribing Endomorphism Algebras, a Unified Treatment
• Abelian Groups
• A Krull-Schmidt Theorem for Infinite Sums of Modules
• Every Countable Reduced Torsion-Free Ring is an Endomorphism Ring
• When Summands of Completely Decomposable Modules Are Completely Decomposable
• Corrections and Supplementaries to My Paper concerning Krull-Remak-Schmidt’s Theorem

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