Self-splitting Abelian groups

DOI10.1017/S0004972700019699zbMath0990.20036MaRDI QIDQ2748268

Phillip Schultz

Publication date: 29 April 2002

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

flat coverscotorsion theoriesvanishing of Extsplittersself-splitting Abelian groupsuncountable reduced torsion-free Abelian groups

Mathematics Subject Classification ID

Ext and Tor, generalizations, Künneth formula (category-theoretic aspects) (18G15) Torsion-free groups, infinite rank (20K20) Extensions of abelian groups (20K35) Homological and categorical methods for abelian groups (20K40)

Related Items

On the cogeneration of cotorsion pairs ⋮ Unnamed Item ⋮ Cotilting and a hierarchy of almost cotorsion groups ⋮ The Structure of Ext for Torsion-Free Modules of Finite Rank over Dedekind Domains ⋮ COMMUTING PROPERTIES OF EXT ⋮ Cotorsion theories and splitters ⋮ Tilting modules over small Dedekind domains

Cites Work

• Abelian group extensions and the axiom of constructibility
• Projective classes of torsion free Abelian groups. II
• Generating cotorsion theories and injective classes
• On the rank of Ext
• Solution of two problems on cotorsion abelian groups
• On the existence of \(\lambda\)-projective splitters
• Cotilting and a hierarchy of almost cotorsion groups
• Extensions of torsion-free Abelian groups of finite rank
• On a subfunctor of Ext
• New aspects for two classical theorems on torsion splitting*
• Projective classes of torsion free Abelian groups
• Tilted Algebras
• Balanced Subgroups of Abelian Groups
• Cotorsion theories and splitters