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 Rank preserver of Boolean matrices Bull. Korean Math. Soc. 2005 Vol. 42, No. 3, 501-507 Printed September 1, 2005 Seok-Zun Song, Kyung-Tae Kang, and Young-Bae Jun Cheju National University, Cheju National University, Gyeongsang National University Abstract : A Boolean matrix with rank $1$ is factored as a left factor and a right factor. The perimeter of a rank-$1$ Boolean matrix is defined as the number of nonzero entries in the left factor and the right factor of the given matrix. We obtain new characterizations of rank preservers, in terms of perimeter, of Boolean matrices. Keywords : perimeter, linear operator, $(U,V)$-operator MSC numbers : Primary 15A23, 15A04, 15A03 Downloads: Full-text PDF