On the Möbius function of the locally finite poset associated with a numerical semigroup
Résumé
Let $S$ be a numerical semigroup and let $(\mathbb{Z},\leq_S)$ be the (locally finite) poset induced by $S$ on the set of integers $\mathbb{Z}$ defined by $x \leq_S y$ if and only if $y-x\in S$ for all integers $x$ and $y$. In this paper, we investigate the {\it M\"{o}bius function} associated to $(\mathbb{Z},\leq_S)$ when $S$ is an {\it arithmetic} semigroup.
Domaines
Combinatoire [math.CO]
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Mobius_function_numerical_semigroups_posets.pdf (152.28 Ko)
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