References
J. Brenner, The decomposition theorem for abelian groups. Bull. Amer. Math. Soc.47, 116–117 (1941).
S. Cater, An elementary development of the Jordan canonical form. Amer. Math. Monthly69, 391–393 (1962).
N.Jacobson, The theory of rings. New York 1942.
I.Kaplansky, Infinite abelian groups. Ann Arbor 1954.
A. Korselt, Einfacher Beweis eines Satzes von Kronecker. J. reine angew. Math.164, 61–62 (1931).
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Sponsored (in part) by Mathematics Research Center, U.S. Army, Madison, Wisconsin, under contract No. DA-11-022-ORD-2059.
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Brenner, J.L. The Jordan normal form; decomposition theorem for modules. Arch. Math 15, 276–281 (1964). https://doi.org/10.1007/BF01589198
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DOI: https://doi.org/10.1007/BF01589198