A note on isomorphisms between submonoids of ${\mathbb{N}}^k$ and numerical semigroups

Jerson Borja

Given a submonoid $H$ of ${\mathbb{N}}^k$, we give some characterizations of the minimum $r\in {\mathbb{N}}^{+}$ such that $H$ is isomorphic to a submonoid of ${\mathbb{N}}^r$. In the context…