The minimal system of generators of an affine, plane and normal semigroup

dc.contributor.author	Moreno Frías, María Ángeles
dc.contributor.author	Rosales, José Carlos
dc.contributor.other	Matemáticas	es_ES
dc.date.accessioned	2025-02-12T08:32:51Z
dc.date.available	2025-02-12T08:32:51Z
dc.date.issued	2024
dc.identifier.issn	1846-579X
dc.identifier.uri	http://hdl.handle.net/10498/35413
dc.description.abstract	If X is a nonempty subset of Qk , the cone generated by X is C(X) = {q1x1 + · · ·+qnxn \| n ∈ N\{0},{q1, . . . ,qn} ⊆ Q+0 and {x1, . . . ,xn} ⊆ X}. In this work we present an algorithm which calculates from {(a1,b1), (a2,b2)} ⊆ N2 , the minimal system of generators of the affine semigroup C({(a1,b1), (a2,b2)}) ∩N2. This algorithm is based on the study of proportionally modular Diophantine inequalities carried out in [1]. Also, we present an upper bound for the embedding dimension of this semigroup.	es_ES
dc.format	application/pdf	es_ES
dc.language.iso	eng	es_ES
dc.publisher	Ele-math	es_ES
dc.source	Journal of Mathematical Inequalities, Vol. 18, Núm. 4, 2024, pp. 1233-1245	es_ES
dc.subject	Affine semigroup	es_ES
dc.subject	Bézout sequence	es_ES
dc.subject	normal semigroup	es_ES
dc.subject	plane semigroup	es_ES
dc.subject	triangulation	es_ES
dc.subject	embedding dimension	es_ES
dc.title	The minimal system of generators of an affine, plane and normal semigroup	es_ES
dc.type	journal article	es_ES
dc.rights.accessRights	open access	es_ES
dc.identifier.doi	10.7153/JMI-2024-18-70
dc.type.hasVersion	VoR	es_ES