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List of References
Arnold, D. M. A class of pure subgroups of completely decomposable abelian groups, Proc. Amer. Math. Soc. 41 (1973), 37–44.
Genera and decompositions of torsion free modules, Springer-Verlag Lecture Notes #616 (1977), 197–218.
Finite rank torsion free abelian groups and subrings of finite dimensional Q-algebras, Lecture Notes, 220p, preprint.
Arnold, D. M., and Lady, L. Endomorphism rings and direct sums of torsion free abelian groups, Trans. Amer. Math. Soc., 211 (1975), 225–237.
Baer, R. Abelian groups without elements of finite order, Duke Math. J. 3 (1937), 68–122.
Beaumont, R. A., and Pierce, R. S. Torsion-free rings, Illinois J. Math. 5 (1961), 61–98.
Bican, L. Purely finitely generated Abelian groups, Comment. Math. Univ. Carolinae 11 (1970), 1–8.
Splitting in Abelian groups, Czech. Math. J. 28 (103) (1978).
Brenner, S., and Butler, M. C. R. Endomorphism rings of vector spaces and torsion free abelian groups, J. London Math. Soc. 40 (1965), 183–187.
Butler, M. C. R. A class of torsion-free abelian groups of finite rank, Proc. London Math. Soc. 15 (1965), 680–698.
Cruddis, T. B. On a class of torsion free abelian groups Proc. London Math. Soc. 21 (1970), 243–276.
Fuchs, L. Infinite Abelian Groups, Vol. II, Academic Press, 1973.
Hunter, R. and Richman, F. Global Warfield groups, preprint.
Koehler, J. The type set of a torsion-free group of finite rank, Illinois J. Math. 9 (1965), 66–86.
Lady, E.L. Summands of finite rank torsion free abelian groups, J. Alg. 32 (1974), 51–52.
Nearly isomorphic torsion free abelian groups, J. Alg. 35 (1975), 235–238.
Almost completely decomposable torsion free abelian groups, Proc. A.M.S. 45 (1974), 41–47.
Extension of scalars for torsion free modules over Dedekind domains, Symposia Mathematica XXIII (1979), 287–305.
Grothendieck rings for certain categories of quasi-homomorphisms of torsion free modules over Dedekind domains, preprint.
Pierce, R. S. Subrings of simple algebras, Michgan Math. J. 7 (1960), 241–243.
Richman, F. and Walker, E. Valuated groups, J. Algebra 56 (1979) 145–167.
Wang, J. S. P. On completely decomposable groups, Proc. Amer. Math. Soc. 15 (1964), 184–186.
Warfield, R. B., Jr. Homomorphisms and duality for torsion-free groups, Math. Z. 107 (1968), 189–200.
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Arnold, D.M. (1981). Pure subgroups of finite rank completely decomposable groups. In: Göbel, R., Walker, E. (eds) Abelian Group Theory. Lecture Notes in Mathematics, vol 874. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0090520
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DOI: https://doi.org/10.1007/BFb0090520
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