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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.


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