Arithmetic hierarchy of Abelian groups

DOI10.1007/BF00972425zbMath0679.20047MaRDI QIDQ1822631

N. G. Khisamiev

Publication date: 1988

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

zbMATH Keywords

torsion-free abelian groupsdirect sums of cyclic groupsabelian p-groupsclass of arithmetical hierarchy

Mathematics Subject Classification ID

Applications of logic to group theory (20A15) Torsion-free groups, infinite rank (20K20) Direct sums, direct products, etc. for abelian groups (20K25) Hierarchies of computability and definability (03D55)

Related Items (3)

Uniform \(m\)-equivalencies and numberings of classical systems ⋮ Computable presentability of countable linear orders ⋮ Computable embeddability for algebraic structures

Cites Work

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• Hierarchies of torsion-free Abelian groups
• Some constructivizations of Abelian groups
• Hierarchies of Boolean algebras

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