Affine convex body semigroups

dc.contributor.author	García García, Juan Ignacio
dc.contributor.author	Moreno Frías, María Ángeles
dc.contributor.author	Sánchez-Roselly Navarro, Alfredo
dc.contributor.author	Vigneron Tenorio, Alberto
dc.contributor.other	Matemáticas	es_ES
dc.date.accessioned	2025-02-05T07:38:34Z
dc.date.available	2025-02-05T07:38:34Z
dc.date.issued	2013
dc.identifier.issn	0037-1912
dc.identifier.uri	http://hdl.handle.net/10498/35346
dc.description.abstract	In this paper we present a new class of semigroups called convex body semigroups which are generated by convex bodies of Rk. They generalize to arbitrary dimension the concept of proportionally modular numerical semigroups of Rosales et al. (J. Number Theory 103, 281–294, 2003). Several properties of these semigroups are proven. Affine convex body semigroups obtained from circles and polygons of R2 are characterized. The algorithms for computing minimal system of generators of these semigroups are given. We provide the implementation of some of them.	es_ES
dc.format	application/pdf	es_ES
dc.language.iso	eng	es_ES
dc.publisher	Springer	es_ES
dc.source	Semigroup Forum, Vol. 87, Núm. 2, 2013, pp. 331-350	es_ES
dc.subject	Affine semigroup	es_ES
dc.subject	Circle semigroup	es_ES
dc.subject	Convex body monoid	es_ES
dc.subject	Convex body semigroup	es_ES
dc.subject	Polygonal semigroup	es_ES
dc.title	Affine convex body semigroups	es_ES
dc.type	journal article	es_ES
dc.rights.accessRights	open access	es_ES
dc.identifier.doi	10.1007/S00233-012-9460-9
dc.type.hasVersion	AM	es_ES

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