New aspects for two classical theorems on torsion splitting*

DOI10.1080/00927878708823548zbMath0628.13011OpenAlexW2066717407MaRDI QIDQ3764247

Rüdiger Göbel

Publication date: 1987

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00927878708823548

zbMATH Keywords

Extcotorsiontorsion theory for modules over a Dedekind domain

Mathematics Subject Classification ID

Dedekind, Prüfer, Krull and Mori rings and their generalizations (13F05) Torsion theory for commutative rings (13D30) Torsion modules and ideals in commutative rings (13C12)

Related Items (5)

Bouquets of Baer modules ⋮ A generalization of Baer's splitting problem on Abelian groups ⋮ Self-splitting Abelian groups ⋮ Baer Modules over Domains ⋮ Cotorsion theories and splitters

Cites Work

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• The splitting of modules over integral domains
• Klassen von Moduln über Dedekind-Ringen und Satz von Stein-Serre
• Solution of two problems on cotorsion abelian groups
• Baer and UT-modules over domains
• Slender rings and modules
• Extending automorphisms and lifting decompositions in abelian groups
• The subgroup of the elements of finite order of an Abelian group
• On a problem of Baer and a problem of Whitehead in abelian groups
• Arbitrary torsion classes of abelian groups^*
• Prescribing Endomorphism Algebras, a Unified Treatment

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