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Factorization properties of $(n\times n)$ Boolean matrices
Fundamentalʹnaâ i prikladnaâ matematika, Tome 14 (2008) no. 5, pp. 155-164
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It is proved that every $(n\times n)$ Boolean matrix can be expressed as a product of primes and elementary matrices in the semigroup of Boolean matrices. 
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E. E. Marenich. Factorization properties of $(n\times n)$ Boolean matrices. Fundamentalʹnaâ i prikladnaâ matematika, Tome 14 (2008) no. 5, pp. 155-164. http://geodesic.mathdoc.fr/item/FPM_2008_14_5_a9/

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