On divisor-closed submonoids and minimal distances in finitely generated monoids

dc.contributor.author	García García, Juan Ignacio
dc.contributor.author	Marín Aragón, Daniel
dc.contributor.author	Moreno Frías, María Ángeles
dc.contributor.other	Matemáticas	es_ES
dc.date.accessioned	2025-02-06T07:44:52Z
dc.date.available	2025-02-06T07:44:52Z
dc.date.issued	2017
dc.identifier.issn	0747-7171
dc.identifier.uri	http://hdl.handle.net/10498/35366
dc.description.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.	es_ES
dc.format	application/pdf	es_ES
dc.language.iso	eng	es_ES
dc.publisher	Elsevier	es_ES
dc.source	Journal of Symbolic Computation, Vol. 93, 2019, pp. 230-245	es_ES
dc.subject	Divisor-closed submonoid	es_ES
dc.subject	Archimedean component	es_ES
dc.subject	Set of minimal distances	es_ES
dc.subject	Non-unique factorizations	es_ES
dc.subject	Commutative monoid	es_ES
dc.subject	Cancellative monoid	es_ES
dc.subject	Polyhedral cone	es_ES
dc.subject	Finitely generated monoid	es_ES
dc.title	On divisor-closed submonoids and minimal distances in finitely generated monoids	es_ES
dc.type	journal article	es_ES
dc.rights.accessRights	open access	es_ES
dc.identifier.doi	10.1016/J.JSC.2018.06.008
dc.type.hasVersion	VoR	es_ES