11 citations · 31 across the 23 of their papers we have counts for
30 papers
Prime Ideals and Projective Closure in the Boolean Polynomial Semiring
Tristan Bishop, Chris Eppolito, Radford Green +3
In this paper, we investigate two related questions concerning the Boolean polynomial semiring in two variables. First, we study prime ideals in , beginning with a…
Closure operators and geometric modules of valuated matroids
Jaiung Jun, Jeffrey Tolliver
We introduce a closure operator for valuated matroids and prove that it yields a cryptomorphic definition of valuated matroids. As an application, we introduce a class of modules o…
Proto-Exact Categories of Matroids over Idylls and Tropical Toric Reflexive Sheaves
Jaiung Jun, Alex Sistko, Cameron Wright
We study the category - of matroids over an idyll . We show that - is a proto-exact category, a non-additive generalization of…
Nontrivial solutions for homogeneous linear equations over some non-quotient hyperfields
David Hobby, Jaiung Jun
We introduce a class of hyperfields which includes several constructions of non-quotient hyperfields. We then use it to partially answer a question posed by M. Baker and T. Zhang:…
On Picard groups and Jacobians of directed graphs
Jaiung Jun, Youngsu Kim, Matthew Pisano
The Picard group of an undirected graph is a finitely generated abelian group, and the Jacobian is the torsion subgroup of the Picard group. These groups can be computed by using t…
On the Combinatorics of -Representations of Pseudotree Quivers
Jaiung Jun, Jaehoon Kim, Alex Sistko
We investigate quiver representations over . Coefficient quivers are combinatorial gadgets equivalent to -representations of quivers. We focus on the ca…