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Original Articles

Term rank preservers of Boolean matrices

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Pages 241-247 | Received 13 Jan 2011, Accepted 13 May 2011, Published online: 25 Aug 2011
 

Abstract

We obtain some characterizations of linear operators that preserve the term rank of Boolean matrices. That is, a linear operator over Boolean matrices preserves the term rank if and only if it preserves the term ranks 1 and k(โ‰ 1) if and only if it preserves the term ranks 2 and l(โ‰ 2). Other characterizations of term rank preservers are given.

AMS Subject Classifications::

Acknowledgements

This research was supported by the Basic Science Research Program through the National Research Foundation of Korea (NRF), funded by the Ministry of Education, Science and Technology (No. 2011-0006095).

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