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G-2017-44

The embedding theorem for tropical modules

BibTeX reference

Tropical algebra is the algebra constructed over the tropical semifield Rmax=(R{},max. We show here that every m-dimensional tropical module M over R_{max}, given by a n\times p matrix A can be embedded into R_{max}^n, iff n of its rows are independent. This result yields a significant improvement to the Whitney embedding for tropical torsion modules published earlier.

, 10 pages

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G1744.pdf (300 KB)