@misc{10498/35366, year = {2017}, url = {http://hdl.handle.net/10498/35366}, 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 t,. Δ*(H), the set of minimal distances of H.}, publisher = {Elsevier}, keywords = {Divisor-closed submonoid}, keywords = {Archimedean component}, keywords = {Set of minimal distances}, keywords = {Non-unique factorizations}, keywords = {Commutative monoid}, keywords = {Cancellative monoid}, keywords = {Polyhedral cone}, keywords = {Finitely generated monoid}, title = {On divisor-closed submonoids and minimal distances in finitely generated monoids}, doi = {10.1016/J.JSC.2018.06.008}, author = {García García, Juan Ignacio and Marín Aragón, Daniel and Moreno Frías, María Ángeles}, }