Kyle Ormsby

collaborators

3 papers

math.CO2025

Enumerating submonoids of finite commutative monoids

Caoilainn Kirkpatrick, Amelie el Mahmoud, Kyle Ormsby +6

Given a finite commutative monoid $M$ , we show that submonoids of $M \times [n]$ - where $[n] = {0, 1, \dots, n}$ is equipped with the max operation $\lor$ - may be enumerated via t…

math.CO2025

Combinatorics of factorization systems on lattices

Jishnu Bose, Tien Chih, Hannah Housden +4

We initiate the combinatorial study of factorization systems on finite lattices, paying special attention to the role that reflective and coreflective factorization systems play in…

math.AT2023

Transfer systems for rank two elementary Abelian groups: characteristic functions and matchstick games

Linus Bao, Christy Hazel, Tia Karkos +6

We prove that Hill's characteristic function $χ$ for transfer systems on a lattice $P$ surjects onto interior operators for $P$ . Moreover, the fibers of $χ$ have unique maxima whic…