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math.CT2022
Proto-exact categories of modules over semirings and hyperrings
Jaiung Jun, Matt Szczesny, Jeffrey Tolliver
\emph{Proto-exact categories}, introduced by Dyckerhoff and Kapranov, are a generalization of Quillen exact categories which provide a framework for defining algebraic K-theory and…
math.CT2018
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…