References
Cohn, P. M.: The complement of a finitely generated direct summand of an abelian group. Proc. Amer. Math. Soc.7, 520–521 (1956).
Crawley, P.: The cancellation of torsion abelian groups in direct sums. J. Algebra2, 432–442 (1965).
Fuchs, L., andF. Loonstra: On the cancellation of modules in direct sums over Dedekind domains. Indagationes Math.33, 163–169 (1971).
Swan, R. G.: AlgebraicK-theory. Lecture Notes in Mathematics, Nr. 76. Berlin-Heidelberg-New York: Springer. 1968.
Walker, E. A.: Cancellation in direct sums of groups. Proc. Amer. Math. Soc.7, 898–902 (1956).
Warfield, R. B. Jr.: A Krull-Schmidt theorem for infinite sums of modules. Proc. Amer. Math. Soc.22, 460–465 (1969).
Warfield, R. B. Jr.: Exchange rings and decompositions of modules (to appear).
Wu, L. E. T., andJ. P. Jans: On quasi-projectives. Illinois J. Math.11, 439–448 (1967).
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In memoriamAlfred etCatherine Rényi
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Fuchs, L. On a substitution property of modules. Monatshefte für Mathematik 75, 198–204 (1971). https://doi.org/10.1007/BF01299099
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DOI: https://doi.org/10.1007/BF01299099