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Balanced subgroups of Abelian groups. (English) Zbl 0321.20035


MSC:

20K27 Subgroups of abelian groups
20K40 Homological and categorical methods for abelian groups
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[1] László Fuchs, Infinite abelian groups. Vol. I, Pure and Applied Mathematics, Vol. 36, Academic Press, New York-London, 1970. · Zbl 0209.05503
[2] László Fuchs, Infinite abelian groups. Vol. II, Academic Press, New York-London, 1973. Pure and Applied Mathematics. Vol. 36-II. · Zbl 0257.20035
[3] Phillip Griffith, On a subfunctor of \?\?\?, Arch. Math. (Basel) 21 (1970), 17 – 22. · Zbl 0246.20044 · doi:10.1007/BF01220870
[4] Paul Hill and Charles Megibben, On direct sums of countable groups and generalizations, Studies on Abelian Groups (Symposium, Montpellier, 1967) Springer, Berlin, 1968, pp. 183 – 206. · Zbl 0203.32705
[5] S. Mac Lane, Homology, Die Grundlehren der math. Wissenschaften, Band 114, Academic Press, New York; Springer-Verlag, Berlin, 1963. MR 28 #122.
[6] Charles Megibben, On \?^{\?}-high injectives, Math. Z. 122 (1971), 104 – 110. · Zbl 0235.20051 · doi:10.1007/BF01110084
[7] R. J. Nunke, Homology and direct sums of countable abelian groups, Math. Z. 101 (1967), 182 – 212. · Zbl 0173.02401 · doi:10.1007/BF01135839
[8] Carol L. Walker, Projective classes of completely decomposable Abelian groups, Arch. Math. (Basel) 23 (1972), 581 – 588. · Zbl 0253.20079 · doi:10.1007/BF01304936
[9] Kyle D. Wallace, On mixed groups of torsion-free rank one with totally projective primary components, J. Algebra 17 (1971), 482 – 488. · Zbl 0215.39902 · doi:10.1016/0021-8693(71)90005-6
[10] R. B. Warfield Jr., Classification theorems for \?-groups and modules over a discrete valuation ring, Bull. Amer. Math. Soc. 78 (1972), 88 – 92. · Zbl 0231.13004
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