RT journal article
T1 On divisor-closed submonoids and minimal distances in finitely generated monoids
A1 García García, Juan Ignacio
A1 Marín Aragón, Daniel
A1 Moreno Frías, María Ángeles
A2 Matemáticas
K1 Divisor-closed submonoid
K1 Archimedean component
K1 Set of minimal distances
K1 Non-unique factorizations
K1 Commutative monoid
K1 Cancellative monoid
K1 Polyhedral cone
K1 Finitely generated monoid
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 results to give an algorithm for computing t,. Δ*(H), the set of minimal distances of H.
PB Elsevier
SN 0747-7171
YR 2017
FD 2017
LK http://hdl.handle.net/10498/35366
UL http://hdl.handle.net/10498/35366
LA eng
DS Repositorio Institucional de la Universidad de Cádiz
RD 21-sep-2026