Theorems on direct sums of modules
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- Proc. Amer. Math. Soc. 13 (1962), 540-542 Request permission
References
- Irving Kaplansky, Infinite abelian groups, University of Michigan Press, Ann Arbor, 1954. MR 0065561
- P. M. Cohn, The complement of a finitely generated direct summand of an abelian group, Proc. Amer. Math. Soc. 7 (1956), 520–521. MR 78370, DOI 10.1090/S0002-9939-1956-0078370-X
- Elbert A. Walker, Cancellation in direct sums of groups, Proc. Amer. Math. Soc. 7 (1956), 898–902. MR 81440, DOI 10.1090/S0002-9939-1956-0081440-3
- 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
- Maurice Auslander and David A. Buchsbaum, Homological dimension in local rings, Trans. Amer. Math. Soc. 85 (1957), 390–405. MR 86822, DOI 10.1090/S0002-9947-1957-0086822-7
- Oscar Zariski and Pierre Samuel, Commutative algebra, Volume I, The University Series in Higher Mathematics, D. Van Nostrand Co., Inc., Princeton, New Jersey, 1958. With the cooperation of I. S. Cohen. MR 0090581
Additional Information
- © Copyright 1962 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 13 (1962), 540-542
- MSC: Primary 13.40; Secondary 16.00
- DOI: https://doi.org/10.1090/S0002-9939-1962-0138642-X
- MathSciNet review: 0138642