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The term rank of a matrix A over a semiring S is the least number of lines (rows or columns) needed to include all the nonzero entries in A. In this paper, we study linear operators that preserve term ranks of matrices over S. In particular, we show that a linear operator T on matrix space over S preserves term rank if and only if T preserves term ranks 1 and α(≥2) if and only if T preserves two consecutive...
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