FUNDAMENTALNAYA I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

2008, VOLUME 14, NUMBER 5, PAGES 155-164

Factorization properties of (n ´ n) Boolean matrices

E. E. Marenich

Abstract

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It is proved that every (n ´ n) Boolean matrix can be expressed as a product of primes and elementary matrices in the semigroup of Boolean matrices.

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