Degrees of orders on torsion-free Abelian groups

作者：Kach Asher M; Lange Karen; Solomon Reed^*

来源：Annals of Pure and Applied Logic, 2013, 164(7-8): 822-836.

DOI：10.1016/j.apal.2013.01.005

• Ordered Abelian group
• Degree spectra of orders

We show that if H is an effectively completely decomposable computable torsion-free abelian group, then there is a computable copy G of H such that G has computable orders but not orders of every (Turing) degree.

• 出版日期2013-8