Hierarchies of torsion-free Abelian groups

DOI10.1007/BF01978886zbMath0625.03026OpenAlexW2045531999MaRDI QIDQ579244

N. G. Khisamiev

Publication date: 1986

Published in: Algebra and Logic (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/187346

zbMATH Keywords

torsion-free Abelian groupsarithmetic hierarchy of Abelian groupsconstructivizable groups

Mathematics Subject Classification ID

Torsion-free groups, infinite rank (20K20) Subgroups of abelian groups (20K27) Theory of numerations, effectively presented structures (03D45) Hierarchies of computability and definability (03D55)

Related Items (10)

New degree spectra of Polish spaces ⋮ Computable torsion-free nilpotent groups of finite dimension. ⋮ On positive and constructive groups ⋮ Separating notions in effective topology ⋮ COMPUTABLY COMPACT METRIC SPACES ⋮ On Constructive Nilpotent Groups ⋮ The isomorphism problem for torsion-free abelian groups is analytic complete ⋮ A.D. Taimanov and model theory in Kazakhstan ⋮ Arithmetic hierarchy of Abelian groups ⋮ Computable topological abelian groups

Cites Work

• Some constructivizations of Abelian groups
• Strongly constructive Abelian p-groups
• Nonconstructivizability of the reduced part of a strongly constructive torsion-free Abelian group
• Hierarchies of Boolean algebras
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