|
|
|
|
|
Volume 35 • Number 2 • 2012 |
|
•
Characterizations of Term-Rank Preservers over Boolean Matrices
Kyung-Tae Kang and Seok-Zun Song
Abstract.
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.
2010 Mathematics Subject Classification: 15A86, 15A03, 15A33.
Full text: PDF
|
|
|
|
|
|
|
|
|