Locally isomorphic torsionless modules over domains of finite character

DOI10.1142/S021949881950138XzbMath1423.13068OpenAlexW2883420327WikidataQ129483226 ScholiaQ129483226MaRDI QIDQ5230104

Lee Klingler, Basak Ay Saylam

Publication date: 20 August 2019

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s021949881950138x

zbMATH Keywords

finitely generated modulesKrull-Schmidt propertytorsion-free modulesalmost local-global ringsintegral domains of finite character

Mathematics Subject Classification ID

Projective and free modules and ideals in commutative rings (13C10) Integral domains (13G05) Structure, classification theorems for modules and ideals in commutative rings (13C05)

Cites Work

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• Krull-Schmidt and cancellation over local rings
• BCS rings
• Pole assignability and the invariant factor theorem in Prüfer domains and Dedekind domains
• Cancellation of modules and groups and stable range of endomorphism rings
• Module equivalences: Local to global. When primitive polynomials represent units
• Torsion-free modules over K(x, y)
• Modules Over Dedekind Rings and Valuation Rings

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