Arbitrary torsion classes of abelian groups*

DOI10.1080/00927878308822914zbMath0543.20038OpenAlexW1999983183MaRDI QIDQ3331423

Manfred Dugas, Gerhard Herden

Publication date: 1983

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

Full work available at URL: https://doi.org/10.1080/00927878308822914

zbMATH Keywords

hereditary torsion theoriestorsion theories of abelian groupsextensions of ZFC

Mathematics Subject Classification ID

Torsion theories, radicals (18E40) Homological and categorical methods for abelian groups (20K40)

Related Items

SOME CARDINALITY CONDITIONS FOR RING RADICALS, Lattices of orthogonal theories, New aspects for two classical theorems on torsion splitting*, Are all localizing subcategories of stable homotopy categories coreflective?, Abelian groups, Semi-rigid classes of cotorsion-free Abelian groups, Singly cogenerated annihilator classes, On reduced products of Abelian groups

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Arbitrary torsion classes and almost free abelian groups
• Torsion theories of simple type
• Semi-rigid classes of cotorsion-free Abelian groups
• Lösung eines Problems von L. Fuchs
• On endo-rigid, strongly \(\aleph_1\)-free Abelian groups in \(\aleph_1\).
• On stout and slender groups
• Infinite Abelian groups, Whitehead problem and some constructions
• On torsion classes of Abelian groups
• Iterated Cohen extensions and Souslin's problem
• The lattice (,⊂) of arbitrary torsion classes for mod-r
• Commutative rings over which all torsion theories are hereditary
• The fine structure of the constructible hierarchy