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Homology and direct sums of countable abelian groups. (English) Zbl 0173.02401


MSC:

20K40 Homological and categorical methods for abelian groups
20K25 Direct sums, direct products, etc. for abelian groups
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References:

[1] Butler, M. C. R., andG. Horrocks: Classes of extensions and resolutions. Phil. Trans. Royal Soc. London Ser. A,254, 155-222 (1961). · Zbl 0099.25902
[2] Fuchs, L.: Abelian groups. Budapest Publ. House of the Hung., Acad. of Sci. 1958. · Zbl 0091.02704
[3] ?: Recent results and problems on abelian groups, p. 9-40. Topics in Abelian Groups. Chicago: Scott, Foresman 1963.
[4] Harrison, D. K.: On the structure of Ext, p. 195-209. Topics in Abelian Groups. Chicago: Scott, Foresman 1963.
[5] Irwin, J. M., C. Walker, andE. A. Walker: Onp ?-pure sequences of abelian groups. Topics in Abelian Groups, p. 69-119. Chicago: Scott, Foresman 1963.
[6] Kaplansky, I.: Projective modules. Annals of Math.68, 371-377 (1958). · Zbl 0083.25802
[7] MacLane, S.: Group extensions of primary abelian groups. Trans. Amer. Math. Soc.95, 1-16 (1960). · Zbl 0091.02203
[8] ?: Homology. Berlin-Göttingen-Heidelberg: Springer 1963.
[9] Maranda, J.-M.: Injective structures. Trans. Amer. Math. Soc.110, 98-135 (1964). · Zbl 0121.26601
[10] Nunke, R. J.: Modules of extensions over Dedekind rings. Ill. Journ. Math.3, 222-241 (1959). · Zbl 0087.26603
[11] ?: Purity and subfunctors of the identity, p. 121-171. Topics in Abelian Groups. Chicago: Scott, Foresman 1963.
[12] ?: On the structure of Tor. Proceedings of the Coloquium on Abelian Groups, p. 115-124. Budapest: Publ. House of the Hung., Acad. of Sci. 1964.
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