Möbius function of semigroup posets through Hilbert series

Autor: Jorge Luis Ramírez Alfonsín, Jonathan Chappelon, Luis Pedro Montejano, Ignacio García-Marco

Publikováno v: Journal of Combinatorial Theory, Series A
Journal of Combinatorial Theory, Series A, Elsevier, 2015, 136, pp.238-251. ⟨10.1016/j.jcta.2015.07.006⟩

In this paper, we investigate the M{\"o}bius function $\mu\_{\mathcal{S}}$ associated to a (locally finite) poset arising from a semigroup $\mathcal{S}$ of $\mathbb{Z}^m$. We introduce and develop a new approach to study $\mu\_{\mathcal{S}}$ by using

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https://hal.archives-ouvertes.fr/hal-00981841