1-SEPARABLE TORSION FREE MODULES OVER INTEGRAL DOMAINS

DOI10.17654/0972555522035OpenAlexW4308132278MaRDI QIDQ5055269

E. F. jun. Cornelius

Publication date: 13 December 2022

Published in: JP Journal of Algebra, Number Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.17654/0972555522035

zbMATH Keywords

integral domainquasi-isomorphismtorsion free abelian groupseparable moduletorsion free module

Mathematics Subject Classification ID

Integral domains (13G05) Structure, classification theorems for modules and ideals in commutative rings (13C05) Torsion-free groups, infinite rank (20K20) Torsion-free groups, finite rank (20K15)

Cites Work

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• On completely decomposable and separable modules over Prüfer domains
• A generalization of separable torsion-free Abelian groups
• A sufficient condition for separability
• Characterization of a class of torsion free groups in terms of endomorphisms
• László Fuchs -- A personal evaluation of his contributions to mathematics
• A generalization of separable groups
• On -separable abelian groups
• Prüfer domains and pure submodules of direct sums of ideals
• Torsion free groups of rank two

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