The set $\mathcal{G}_0(S)$ of the classes of non-divisorial ideals of a numerical semigroup $S$ can be endowed with a natural partial order induced by the set of star operations on $S$. We study embeddings of $\mathcal{G}_0(S)$ into $\mathbb{N}^n$, specializing on three families of numerical semigroups with radically different behaviour.
Spirito, D. (2018). Embedding the set of non-divisorial ideals of a numerical semigroup into $\mathbb{N}^n$. JOURNAL OF ALGEBRA AND ITS APPLICATIONS, 17(11) [10.1142/S0219498818502055].
Embedding the set of non-divisorial ideals of a numerical semigroup into $\mathbb{N}^n$
Dario Spirito
2018-01-01
Abstract
The set $\mathcal{G}_0(S)$ of the classes of non-divisorial ideals of a numerical semigroup $S$ can be endowed with a natural partial order induced by the set of star operations on $S$. We study embeddings of $\mathcal{G}_0(S)$ into $\mathbb{N}^n$, specializing on three families of numerical semigroups with radically different behaviour.File in questo prodotto:
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