Almost free splitters

DOI10.4064/cm-81-2-193-221zbMath0948.20032OpenAlexW1622406105MaRDI QIDQ3836220

Saharon Shelah, Rüdiger Göbel

Publication date: 4 September 2000

Published in: Colloquium Mathematicum (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/210735

zbMATH Keywords

torsion-free Abelian groupssplitterscriteria for freeness of modulesself-splitting modules

Mathematics Subject Classification ID

Projectives and injectives (category-theoretic aspects) (18G05) Structure, classification theorems for modules and ideals in commutative rings (13C05) Homological functors on modules of commutative rings (Tor, Ext, etc.) (13D07) Torsion-free groups, infinite rank (20K20) Extensions of abelian groups (20K35) Homological and categorical methods for abelian groups (20K40)

Related Items

Baer cotorsion pairs., Cotilting and a hierarchy of almost cotorsion groups, On the lattice of cotorsion theories, Cotilting modules are pure-injective, Cotorsion theories and splitters