3 citations · 3 across the 2 of their papers we have counts for
2 papers
cs.SC2020
On FGLM Algorithms with Tropical Gröbner bases
Yuki Ishihara, Tristan Vaccon, Kazuhiro Yokoyama
Let K be a field equipped with a valuation. Tropical varieties over K can be defined with a theory of Gr{ö}bner bases taking into account the valuation of K. Because of the use of…
math.AC2020★ 3 cited
Effective Localization Using Double Ideal Quotient and Its Implementation
Yuki Ishihara, Kazuhiro Yokoyama
In this paper, we propose a new method for localization of polynomial ideal, which we call "Local Primary Algorithm". For an ideal and a prime ideal , our method computes a…