Jump degrees of torsion-free abelian groups

DOI10.2178/jsl.7704020zbMath1273.03142OpenAlexW2004915483MaRDI QIDQ4899162

Brooke M. Andersen, Alexander G. Melnikov, Asher M. Kach, D. Reed Solomon

Publication date: 7 January 2013

Published in: The Journal of Symbolic Logic (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.jsl/1350315577

zbMATH Keywords

jump degreetorsion-free abelian group

Mathematics Subject Classification ID

Torsion-free groups, infinite rank (20K20) Torsion-free groups, finite rank (20K15) Theory of numerations, effectively presented structures (03D45)

Related Items (7)

New degree spectra of Polish spaces ⋮ Effectively categorical abelian groups ⋮ Torsion-free abelian groups with optimal Scott families ⋮ Iterated effective embeddings of abelian p-groups ⋮ Proper divisibility in computable rings ⋮ COMPUTABLE ABELIAN GROUPS ⋮ Degree spectra of structures

Cites Work

• Enumerations and completely decomposable torsion-free abelian groups
• Degrees of orderings not isomorphic to recursive linear orderings
• The isomorphism problem for torsion-free abelian groups is analytic complete
• Countable algebra and set existence axioms
• Computable structures and the hyperarithmetical hierarchy
• Every Set has a Least Jump Enumeration
• Degrees coded in jumps of orderings
• Boolean algebras, Stone spaces, and the iterated Turing jump
• The isomorphism relation on countable torsion free abelian groups
• Reverse mathematics and fully ordered groups

This page was built for publication: Jump degrees of torsion-free abelian groups