Direct products of modules
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- by Stephen U. Chase
- Trans. Amer. Math. Soc. 97 (1960), 457-473
- DOI: https://doi.org/10.1090/S0002-9947-1960-0120260-3
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References
- Hyman Bass, Finitistic dimension and a homological generalization of semi-primary rings, Trans. Amer. Math. Soc. 95 (1960), 466–488. MR 157984, DOI 10.1090/S0002-9947-1960-0157984-8 —, Global dimension of rings, Ph.D. Thesis, University of Chicago, 1959.
- Henri Cartan and Samuel Eilenberg, Homological algebra, Princeton University Press, Princeton, N. J., 1956. MR 0077480
- 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 43073, DOI 10.1007/BF01179851
- Akira Hattori, The solution of problem 6.1.13, Sūgaku 8 (1956/57), 207–208 (Japanese). MR 94335
- Irving Kaplansky, A characterization of Prufer rings, J. Indian Math. Soc. (N.S.) 24 (1960), 279–281 (1961). MR 125137
- Irving Kaplansky, Infinite abelian groups, University of Michigan Press, Ann Arbor, 1954. MR 0065561
- Irving Kaplansky, Modules over Dedekind rings and valuation rings, Trans. Amer. Math. Soc. 72 (1952), 327–340. MR 46349, DOI 10.1090/S0002-9947-1952-0046349-0
- Gottfried Köthe, Verallgemeinerte Abelsche Gruppen mit hyperkomplexem Operatorenring, Math. Z. 39 (1935), no. 1, 31–44 (German). MR 1545487, DOI 10.1007/BF01201343
- Alex Rosenberg and Daniel Zelinsky, Finiteness of the injective hull, Math. Z. 70 (1958/59), 372–380. MR 105434, DOI 10.1007/BF01558598
- Richard G. Swan, Groups with periodic cohomology, Bull. Amer. Math. Soc. 65 (1959), 368–370. MR 115175, DOI 10.1090/S0002-9904-1959-10378-5
Bibliographic Information
- © Copyright 1960 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 97 (1960), 457-473
- MSC: Primary 16.00; Secondary 18.00
- DOI: https://doi.org/10.1090/S0002-9947-1960-0120260-3
- MathSciNet review: 0120260