Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8895830 | Journal of Algebra | 2018 | 17 Pages |
Abstract
It is well known that for two univariate polynomials over the complex number field the number of their common roots is equal to the order of their resultant. In this paper, we show that this fundamental relationship still holds for the tropical polynomials under suitable adaptation of the notion of order, if the roots are simple and non-zero.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Hoon Hong, J. Rafael Sendra,