On divisor-closed submonoids and minimal distances in finitely generated monoids
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 *(H) the set of minimal distance of H.
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