9 citations · 10 across the 2 of their papers we have counts for
7 papers
Homology of systemic modules
Jaiung Jun, Kalina Mincheva, Louis Rowen
We develop the rudiments of a tropical homology theory, based on "triples" and "systems." Results include a version of Schanuel's lemma, projective dimension, the homology semi-mod…
On the Hopf algebra of multi-complexes
Miodrag Iovanov, Jaiung Jun
We introduce a general class of combinatorial objects, which we call \emph{multi-complexes}, which simultaneously generalizes graphs, multigraphs, hypergraphs and simplicial and de…
Matroid-minor Hopf algebra: a cancellation-free antipode formula and other applications of sign-reversing involutions
Eric Bucher, Chris Eppolito, Jaiung Jun +1
In this paper, we give a cancellation-free antipode formula for the matroid-minor Hopf algebra. We then explore applications of this formula. For example, the cancellation-free for…
Projective systemic modules
Jaiung Jun, Kalina Mincheva, Louis Rowen
We develop the basic theory of projective modules and splitting in the more general setting of systems. Systems provide a common language for most tropical algebraic approaches inc…
Proto-exact categories of matroids, Hall algebras, and K-theory
Christopher Eppolito, Jaiung Jun, Matt Szczesny
This paper examines the category of pointed matroids and strong maps from the point of view of Hall algebras. We show that has the…
Hopf algebras for matroids over hyperfields
Christopher Eppolito, Jaiung Jun, Matt Szczesny
Recently, M.~Baker and N.~Bowler introduced the notion of matroids over hyperfields as a unifying theory of various generalizations of matroids. In this paper we generalize the not…