Extensions of torsion-free Abelian groups of finite rank

DOI10.1007/BF01304857zbMath0244.20064MaRDI QIDQ2554791

Robert B. jun. Warfield

Publication date: 1972

Published in: Archiv der Mathematik (Search for Journal in Brave)

Mathematics Subject Classification ID

Homological and categorical methods for abelian groups (20K40)

Related Items (29)

Cobalanced torsion-free abelian groups ⋮ TORSION-FREE ABELIAN GROUPS WITH FINITE RANK ENDOMORPHISM RINGS ⋮ The rank of a completion of a dedekind domain ⋮ Almost flat abelian groups ⋮ On the rank of Ext ⋮ When do two groups always have isomorphic extension groups? ⋮ When is Ext(A, B) torsion-free?, and related problems ⋮ Extensions in the class of countable torsion-free Abelian groups. ⋮ Homomorphic images of completely decomposable finite rank torsion-free groups ⋮ Extensions of order \(p\) ⋮ On L. Fuchs' problems 17 and 43. ⋮ On torision-free ext ⋮ Fuchs' problem 43 ⋮ Self-splitting Abelian groups ⋮ Finitely faithful s-groups ⋮ Note on the extensions of Butler groups ⋮ Extensionless modules of finite rank over countable Dedekind domains ⋮ An equivalence relation for torsion-free Abelian groups of finite rank ⋮ Abelian groups ⋮ The Structure of Ext for Torsion-Free Modules of Finite Rank over Dedekind Domains ⋮ Isotype knice subgroups of global Warfield groups ⋮ A-Solvability and Mixed Abelian Groups ⋮ On the torsion subgroup of Ext(A,G) ⋮ On cartesian powers of a rational group ⋮ Duality in Noetherian integral domains ⋮ On Torsion-Free Minimal Abelian Groups ⋮ Noetherian stable domains ⋮ Reflexive rings and subrings of a product of Dedekind domains ⋮ Murley Groups and the Torsion-Freeness of Ext

Cites Work

• Unnamed Item
• Torsion-free rings
• Homomorphisms and duality for torsion-free groups
• Abelian groups without elements of finite order
• Properties of Ext and quasi-splitting of Abelian groups
• The Grothendieck Group of Torsion-Free Abelian Groups of Finite Rank

This page was built for publication: Extensions of torsion-free Abelian groups of finite rank