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• [2] -, Global dimension of rings, Ph.D. Thesis, University of Chicago, 1959.
• [3] Henri Cartan and Samuel Eilenberg, Homological algebra, Princeton University Press, Princeton, N. J., 1956. MR 0077480 (17,1040e)
• [4] I. S. Cohen and I. Kaplansky, Rings for which every module is a direct sum of cyclic modules, Math. Z. 54 (1951), 97–101. MR 0043073 (13,202a)
• [5] Akira Hattori, On Prüfer rings, J. Math. Soc. Japan 9 (1957), 381–385. MR 0094336 (20 #854b)
• [6] Irving Kaplansky, A characterization of Prufer rings, J. Indian Math. Soc. (N.S.) 24 (1960), 279–281 (1961). MR 0125137 (23 #A2443)
• [7] Irving Kaplansky, Infinite abelian groups, University of Michigan Press, Ann Arbor, 1954. MR 0065561 (16,444g)
• [8] Irving Kaplansky, Modules over Dedekind rings and valuation rings, Trans. Amer. Math. Soc. 72 (1952), 327–340. MR 0046349 (13,719e), http://dx.doi.org/10.1090/S0002-9947-1952-0046349-0
• [9] Gottfried Köthe, Verallgemeinerte Abelsche Gruppen mit hyperkomplexem Operatorenring, Math. Z. 39 (1935), no. 1, 31–44 (German). MR 1545487, http://dx.doi.org/10.1007/BF01201343
• [10] Alex Rosenberg and Daniel Zelinsky, Finiteness of the injective hull, Math. Z. 70 (1958/1959), 372–380. MR 0105434 (21 #4176)
• [11] Richard G. Swan, Groups with periodic cohomology, Bull. Amer. Math. Soc. 65 (1959), 368–370. MR 0115175 (22 #5977), http://dx.doi.org/10.1090/S0002-9904-1959-10378-5

Bibliography

[1]

H. Bass, Finitistic homological dimension and a homological generalization of semi-primary rings, Trans. Amer. Math. Soc. vol. 95 (1960) pp. 466-488. MR 0157984 (28:1212)

[2]

-, Global dimension of rings, Ph.D. Thesis, University of Chicago, 1959.

[3]

H. Cartan and S. Eilenberg, Homological algebra, Princeton University Press, 1956. MR 0077480 (17:1040e)

[4]

I. Cohen and I. Kaplansky, Rings for which every module is a direct sum of cyclic modules, Math. Z. vol. 54 (1951) pp. 97-101. MR 0043073 (13:202a)

[5]

A. Hattori, On Prüfer rings, J. Math. Soc. Japan vol. 9 (1957) pp. 381-385. MR 0094336 (20:854b)

[6]

I. Kaplansky, A characterization of Prüfer rings, J. Indian Math. Soc., to appear. MR 0125137 (23:A2443)

[7]

-, Infinite abelian groups, Ann Arbor, Mich., University of Michigan Press, 1954. MR 0065561 (16:444g)

[8]

-, Modules over Dedekind rings and valuation rings, Trans. Amer. Math. Soc. vol. 72 (1952) pp. 327-340. MR 0046349 (13:719e)

[9]

G. Köthe, Verallgemeinerte Abelsche Gruppen mit hyperkomplexen Operatorenring, Math. Z. vol. 39 (1935) pp. 31-14. MR 1545487

[10]

A. Rosenberg and D. Zelinsky, Finiteness of the injective hull, Math. Z. vol. 70 (1959) pp. 372-380. MR 0105434 (21:4176)

[11]

R. G. Swan, Groups with periodic cohomology, Bull. Amer. Math. Soc. vol. 65 (1959) pp. 368-370. MR 0115175 (22:5977)