Geodesic
Rank permutability and additive operators preserving related rank product conditions
Fundamentalʹnaâ i prikladnaâ matematika, Tome 10 (2004) no. 4, pp. 3-14.

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We characterize bijective additive operators preserving rank product conditions of a certain type. We also show that if an additive operator preserves the corresponding condition strongly, then it is automatically nonsingular. 
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A. A. Alieva; A. È. Guterman. Rank permutability and additive operators preserving related rank product conditions. Fundamentalʹnaâ i prikladnaâ matematika, Tome 10 (2004) no. 4, pp. 3-14. http://geodesic.mathdoc.fr/item/FPM_2004_10_4_a0/

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