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arXiv · 1508.07646

On divisor-closed submonoids and minimal distances in finitely generated monoids

J. I. García-García·D. Marín-Aragón·M. A. Moreno-Frías
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Abstract

We study the lattice of divisor-closed submonoids of finitely generated cancellative commutative monoids. In case the monoid is an affine semigroup, we give a geometrical characterization of such submonoids in terms of its cone. Finally, we use our results to give an algorithm for computing $Δ^*(H)$ the set of minimal distance of $H$.

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J. I. García-García, D. Marín-Aragón, M. A. Moreno-Frías. 2016-09-08. On divisor-closed submonoids and minimal distances in finitely generated monoids. https://arxiv.org/abs/1508.07646

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