A WEAKER FORM OF BAER'S SPLITTING PROBLEM OVER VALUATION DOMAINS

DOI10.1080/16073606.1991.9631639zbMath0738.13017OpenAlexW1514872633MaRDI QIDQ3980028

László Fuchs, G. Viljoen

Publication date: 26 June 1992

Published in: Quaestiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/16073606.1991.9631639

zbMATH Keywords

modules over valuation domainsdivisible modulebounded torsionBaer's problemrank of torsion-free modules

Mathematics Subject Classification ID

Structure, classification theorems for modules and ideals in commutative rings (13C05) Valuation rings (13F30) Ext and Tor, generalizations, Künneth formula (category-theoretic aspects) (18G15) Torsion theory for commutative rings (13D30)

Related Items (3)

László Fuchs' 70th birthday ⋮ Unnamed Item ⋮ Weak baer modules localized with respect to a torsion theory

Cites Work

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• Baer modules over valuation domains
• The splitting of modules over integral domains
• A compactness theorem for singular cardinals, free algebras, Whitehead problem and transversals
• The subgroup of the elements of finite order of an Abelian group

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