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References
J. Cohen and H. Gluck, Stacked bases for modules over principal ideal domains, J. Algebra 14 (1970), 493–505.
P. Crawley and A. W. Hales, The structure of torsion abelian groups given by presentations, Bull. Amer. Math. Soc. 74 (1968), 954–956.
P. Crawley and A. W. Hales, The structure of abelian p-groups given by certain presentations, J. Algebra 12 (1969), 10–23.
J. Erdös, Torsion-free factor groups of free abelian groups and a classification of torsion-free abelian groups, Publ. Math. Debrecen 5 (1957), 172–184.
L. Fuchs, Abelian Groups, Publ. House of the Hungar. Acad. Sci., Budapest, 1958.
__, Infinite Abelian Groups, Vols. I, II, Pure and Appl. Math., vol. 36, Academic Press, New York and London, 1970, 1973.
P. Hill, On the classification of abelian groups, lecture notes.
I. Kaplansky, Infinite Abelian Groups, University of Michigan Press, Ann Arbor, Michigan, 1954 and 1969.
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© 1977 Springer-Verlag
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Hales, A.W. (1977). Analogues of the Stacked Bases Theorem. In: Arnold, D.M., Hunter, R.H., Walker, E.A. (eds) Abelian Group Theory. Lecture Notes in Mathematics, vol 616. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0068211
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DOI: https://doi.org/10.1007/BFb0068211
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