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Annals of Pure and Applied Logic, Vol. 164, No. 7-8. (August 2013), pp. 822-836, doi:10.1016/j.apal.2013.01.005 Key: citeulike:12046687
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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.
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