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Example of the Matrix of Size 6×6 with Different Tropical Rank and Kapranov Rank / Shitov Ya.N. // Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika. 2011. ? 5. P. 58-61 [Moscow Univ. Math. Bulletin. Vol. 66, N 5, 2011.]. We present an example of a 6×6 matrix A such that rkt(A) = 4, rkK(A) = 5. This disproves the conjecture formulated by M. Chan, A. Jensen, and E. Rubei.
Key words: tropical semiring, tropical rank, Kapranov rank, tropical basis.
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