Geodesic
Characterizations of Term-Rank Preservers over Boolean Matrices
Bulletin of the Malaysian Mathematical Society, Tome 35 (2012) no. 2
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In this paper we obtain some characterizations of linear operators that preserve term rank of Boolean matrices. With certain conditions, we prove that for a linear operator $T$ on the Boolean matrix space, $T$ preserves term rank if and only if $T$ preserves two consecutive term ranks if and only if $T$ strongly preserves just one term rank.
Classification : 15A86, 15A03, 15A33. 
@article{BMMS_2012_35_2_a4,
     author = {Kyung-Tae Kang and Seok-Zun Song},
     title = {Characterizations of {Term-Rank} {Preservers} over {Boolean} {Matrices}},
     journal = {Bulletin of the Malaysian Mathematical Society},
     year = {2012},
     volume = {35},
     number = {2},
     url = {http://geodesic.mathdoc.fr/item/BMMS_2012_35_2_a4/}
}
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Kyung-Tae Kang; Seok-Zun Song. Characterizations of Term-Rank Preservers over Boolean Matrices. Bulletin of the Malaysian Mathematical Society, Tome 35 (2012) no. 2. http://geodesic.mathdoc.fr/item/BMMS_2012_35_2_a4/