%0 Journal Article 
%A García García, Juan Ignacio
%A Marín Aragón, Daniel
%A Moreno Frías, María Ángeles
%T On divisor-closed submonoids and minimal distances in finitely generated monoids
%D 2017
%@ 0747-7171
%U http://hdl.handle.net/10498/35366
%X 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 t,. Δ*(H), the set of minimal distances of H.
%K Divisor-closed submonoid
%K Archimedean component
%K Set of minimal distances
%K Non-unique factorizations
%K Commutative monoid
%K Cancellative monoid
%K Polyhedral cone
%K Finitely generated monoid
%~ Universidad de Cádiz