Duality in some classes of torsion-free Abelian groups of finite rank

DOI10.1007/BF00969169zbMath0633.20031MaRDI QIDQ1096019

Alexander A. Fomin

Publication date: 1986

Published in: Siberian Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

typesdualityquasihomomorphismstorsion free groupfree subgroupcategory of groupscontravariant functor\(p\)-adic completions\(p\)-primary componentsummands

Mathematics Subject Classification ID

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

Related Items (11)

On a class of torsion-free abelian groups of finite rank ⋮ Invariants and duality in some classes of torsion-free Abelian groups of finite rank ⋮ Influence of the Baer-Kaplansky theorem on the development of the theory of groups, rings, and modules ⋮ Abelian groups in Russia. ⋮ Abelian groups with one \(\tau\)-adic relation ⋮ Modules over discrete valuation domains. III ⋮ Modules over discrete valuation domains. I ⋮ To the 65th birthday of Professor Alexander Alexandrovich Fomin ⋮ Abelian groups ⋮ Modules over discrete valuation domains. II ⋮ Dualities for torsion-free abelian groups of finite rank

Cites Work

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• Abelian groups with free subgroups of infinite index and their endomorphism groups
• Torsion-free rings
• 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
• Abelian groups without elements of finite order
• A Duality for Torsion-Free Modules of Finite Rank Over a Discrete Valuation Ring

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