When is Ext(A, B) torsion-free?, and related problems

DOI10.1080/00927879808823648zbMath0653.20055OpenAlexW2100045266MaRDI QIDQ3798880

H. Pat Goeters

Publication date: 1988

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

Full work available at URL: https://doi.org/10.1080/00927879808823648

zbMATH Keywords

typeExtinjectiveprojectivetorsion-free abelian groupspure embedding

Mathematics Subject Classification ID

Extensions of abelian groups (20K35) Homological and categorical methods for abelian groups (20K40) Torsion-free groups, finite rank (20K15)

Related Items (9)

Cobalanced torsion-free abelian groups ⋮ When do two groups always have isomorphic extension groups? ⋮ Extensions of order \(p\) ⋮ A NOTE ON B-COSEPARABLE GROUPS ⋮ On L. Fuchs' problems 17 and 43. ⋮ Abelian groups ⋮ Murley groups and the torsion-freeness of Ext. ⋮ Torsion-Free Ext ⋮ Murley Groups and the Torsion-Freeness of Ext

Cites Work

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• Projective classes of torsion free Abelian groups. II
• Generating cotorsion theories and injective classes
• On the torsion subgroup of Ext(A,G)
• Generating an injective class of torsion-free Abelian groups
• Homomorphisms and duality for torsion-free groups
• Extensions of torsion-free Abelian groups of finite rank
• Projective classes of torsion free Abelian groups
• Quasi-Pure Injective and Projective Torsion-Free Abelian Groups of Finite Rank

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