Jump degrees of torsion-free abelian groups

Author:

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

Abstract

AbstractWe show, for each computable ordinal α and degree a > 0(α), the existence of a torsion-free abelian group with proper αth jump degree a.

Publisher

Cambridge University Press (CUP)

Subject

Logic,Philosophy

Reference18 articles.

1. Every Set has a Least Jump Enumeration

2. Enumerations and Completely Decomposable Torsion-Free Abelian Groups

3. Orderings with ath jump degree 0(α);Downey;Proceedings of the American Mathematical Society,1992

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