Zero-term rank inequalities and their extreme preservers

Seok-Zun Song, Seong-Hee Heo


The zero-term rank of a matrix A over a semiring S is the
least number of lines (rows or columns) needed to include all the zero entries in A. In this paper, we characterize linear
operators that preserve the sets of matrix ordered pairs which
satisfy extremal properties with respect to zero-term rank
inequalities of matrices over nonbinary Boolean algebras.

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