Dualities for torsion-free abelian groups of finite rank

DOI10.1016/0021-8693(90)90035-MzbMath0688.20034MaRDI QIDQ1263680

C. I. Vinsonhaler, William J. Wickless

Publication date: 1990

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

zbMATH Keywords

localizationWarfield dualitytorsion-free abelian groups of finite rankArnold dualitycategory of PX-groups and quasi- homomorphismscompletely decomposable subgroupdualizable PX-groupsexact contravariant functorfinite outer typeFomin dualityfull free subgroupquotient divisible

Mathematics Subject Classification ID

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

Related Items (13)

Dualities for locally completely decomposable Abelian groups ⋮ Dualities for self–small groups ⋮ Modules over discrete valuation domains. III ⋮ Unnamed Item ⋮ Modules over discrete valuation domains. I ⋮ To the 65th birthday of Professor Alexander Alexandrovich Fomin ⋮ Warfield dualities induced by self-small mixed groups ⋮ Abelian groups ⋮ A note on mixed \(A\)-reflexive groups. ⋮ Modules over discrete valuation domains. II ⋮ Duality and self-reflexive torsion-free Abelian groups ⋮ Invariants for Abelian groups and dual exact sequences. ⋮ Torsion-free duality is Warfield

Cites Work

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• Abelian groups with free subgroups of infinite index and their endomorphism groups
• Butler groups, valuated vector spaces, and duality
• Duality in some classes of torsion-free Abelian groups of finite rank
• Torsion-free rings
• Warfield duality and rank-one quasi-summands of tensor products of finite rank locally free modules over Dedekind domains
• Homomorphisms and duality for torsion-free groups
• The classification of certain classes of torsion free Abelian groups
• A duality for quotient divisible Abelia n groups of finite rank

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