Geodesic
Characterizations of Term-Rank Preservers over Boolean Matrices
Bulletin of the Malaysian Mathematical Society, Tome 35 (2012) no. 2

Voir la notice de l'article provenant de la source BMMS

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. 
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/
@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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