Geodesic
On the ranks of direct sums
Fundamentalʹnaâ i prikladnaâ matematika, Tome 8 (2002) no. 3, pp. 949-953.

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Strazssen's hypothesis about the rank of a direct sum is known. It has proved for some particular cases. In the present article new cases are analyzed. 
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A. V. Leont'ev. On the ranks of direct sums. Fundamentalʹnaâ i prikladnaâ matematika, Tome 8 (2002) no. 3, pp. 949-953. http://geodesic.mathdoc.fr/item/FPM_2002_8_3_a18/

[1] Latyshev V. N., Kombinatornaya teoriya kolets. Slozhnost algebraicheskikh algoritmov, Izd-vo Mosk. un-ta, M., 1987 | MR | Zbl