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On the Internal Sum of Puiseux Monoids

On the Internal Sum of Puiseux Monoids

In this paper, we investigate the internal (finite) sum of submonoids of rank-$1$ torsion-free abelian groups. These submonoids, when not groups, are isomorphic to nontrivial submonoids of the nonnegative cone of $\mathbb Q$, known as Puiseux monoids, and have been actively studied during the last few years. Here we study …