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.
Published May 2017 , 10 pages
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G1744.pdf (300 KB)