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Numerical semigroups in a problem about cost-effective transport
dc.contributor.author | Robles-Pérez, Aureliano M. | es_ES |
dc.contributor.author | Rosales González, José Carlos | es_ES |
dc.date.accessioned | 2018-03-05T08:21:51Z | |
dc.date.available | 2018-03-05T08:21:51Z | |
dc.date.issued | 2016-06-14 | |
dc.identifier.citation | Robles-Pérez, A.M.; Rosales González, J.C. Numerical semigroups in a problem about cost-effective transport. Forum Mathematicum, 29(2): 329-345 (2016). [http://hdl.handle.net/10481/49801] | es_ES |
dc.identifier.issn | 0933-7741 | |
dc.identifier.issn | 1435-5337 | |
dc.identifier.uri | http://hdl.handle.net/10481/49801 | |
dc.description.abstract | Let N be the set of nonnegative integers. A problem about how to transport profitably an organized group of persons leads us to study the set T formed by the integers n such that the system of inequalities, with nonnegative integer coefficients, a_1x_1+⋯+a_px_p<n<b_1x_1+⋯+b_px_p has at least one solution in N^p. We will see that T∪{0} is a numerical semigroup. Moreover, we will show that a numerical semigroup S can be obtained in this way if and only if {a+b−1,a+b+1}⊆S, for all a,b∈S∖{0}. In addition, we will demonstrate that such numerical semigroups form a Frobenius variety and we will study this variety. Finally, we show an algorithmic process in order to compute T. | en_EN |
dc.description.sponsorship | Both authors are supported by the project MTM2014-55367-P, which is funded by Ministerio de Economía y Competitividad and Fondo Europeo de Desarrollo Regional FEDER, and by the Junta de Andalucía Grant Number FQM-343. The second author is also partially supported by Junta de Andalucía/Feder Grant Number FQM-5849. | es_ES |
dc.language.iso | eng | es_ES |
dc.publisher | Walter de Gruyter GmbH | es_ES |
dc.rights | Creative Commons Attribution-NonCommercial-NoDerivs 3.0 License | |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/3.0/ | |
dc.subject | Diophantine inequalities | en_EN |
dc.subject | Submonoids | en_EN |
dc.subject | Numerical semigroups | en_EN |
dc.subject | Non-homogeneous patterns | en_EN |
dc.subject | Frobenius varieties | en_EN |
dc.subject | Trees | en_EN |
dc.subject | Profitable transport | en_EN |
dc.title | Numerical semigroups in a problem about cost-effective transport | en_EN |
dc.type | journal article | en_EN |
dc.rights.accessRights | open access | en_EN |
dc.identifier.doi | 10.1515/forum-2015-0123 |