Möbius function of semigroup posets through Hilbert series

Jonathan Chappelon, Ignacio García-Marco, Luis Pedro Montejano +1

In this paper, we investigate the M{ö}bius function $\mu \_\mathcal{S}$ associated to a (locally finite) poset arising from a semigroup $\mathcal{S}$ of ${\mathbb{Z}}^m$. We introduce…