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 $\vee$ - may be enumerated via t…