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Showing papers on "Torsion-free abelian group published in 2012"

Journal Article•DOI•
Jump degrees of torsion-free abelian groups

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Brooke M. Andersen1, Asher M. Kach2, Alexander G. Melnikov3•
Assumption College1, University of Chicago2, University of Auckland3
01 Dec 2012-Journal of Symbolic Logic
TL;DR: It is shown that for each computable ordinal α and degree a > 0(α), the existence of a torsion-free abelian group with proper αth jump degree a is shown.
Abstract: We 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.

11 citations

Journal Article•DOI•
The Jacobson radical of the endomorphism ring of a torsion-free abelian group

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V. M. Misyakov1•
Tomsk State University1
28 Jun 2012-Russian Mathematics
TL;DR: In this paper, the Jacobson radical of the endomorphism ring of a torsion-free abelian group is studied in terms of the action of elements of the radical on the group itself.
Abstract: We study the action of elements of the Jacobson radical of the endomorphism ring of a torsion-free abelian group on the group itself.

1 citations