21 citations · 22 across the 4 of their papers we have counts for
5 papers
Varieties of prime tropical ideals and the dimension of the coordinate semiring
Dániel Joó, Kalina Mincheva
In this note we study the relationship between ideals and congruences of the tropical polynomial and Laurent polynomial semirings. We show that the variety of a non-zero prime idea…
Low dimensional flow polytopes and their toric ideals
Mátyás Domokos, Dániel Joó
The toric ideal of a -dimensional flow polytope has an initial ideal generated by square-free monomials of degree at most . The toric ideal of a flow polytope of dimension at…
Toric quiver cells
M. Domokos, Dániel Joó
It is shown that up to dimension four, the toric ideal of a quiver polytope is generated in degree two, with the only exception of the four-dimensional Birkhoff polytope. As a cons…
On the dimension of polynomial semirings
Dániel Joó, Kalina Mincheva
In our previous work, motivated by the study of tropical polynomials, a definition for prime congruences was given for an arbitrary commutative semiring. It was shown that for addi…
Prime congruences of idempotent semirings and a Nullstellensatz for tropical polynomials
Dániel Joó, Kalina Mincheva
A new definition of prime congruences in additively idempotent semirings is given using twisted products. This class turns out to exhibit some analogous properties to the prime ide…