TY - GEN AU - García García, Juan Ignacio AU - Marín Aragón, Daniel AU - Moreno Frías, María Ángeles A4 - Matemáticas PY - 2017 SN - 0747-7171 UR - http://hdl.handle.net/10498/35366 AB - 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... LA - eng PB - Elsevier KW - Divisor-closed submonoid KW - Archimedean component KW - Set of minimal distances KW - Non-unique factorizations KW - Commutative monoid KW - Cancellative monoid KW - Polyhedral cone KW - Finitely generated monoid TI - On divisor-closed submonoids and minimal distances in finitely generated monoids DO - 10.1016/J.JSC.2018.06.008 ER -