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Factorization and catenary degree in 3-generated numerical semigroups
| dc.contributor.author | Aguiló Gost, Francisco de Asis L. |
| dc.contributor.author | García Sánchez, Pedro A. |
| dc.contributor.other | Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada IV |
| dc.date.accessioned | 2011-03-17T11:48:25Z |
| dc.date.available | 2011-03-17T11:48:25Z |
| dc.date.created | 2009-08-01 |
| dc.date.issued | 2009-08-01 |
| dc.identifier.citation | Aguilo, F.; García-Sánchez, P. A. Factorization and catenary degree in 3-generated numerical semigroups. "Electronic notes in discrete mathematics", 01 Agost 2009, vol. 34, p. 157-161. |
| dc.identifier.issn | 1571-0653 |
| dc.identifier.uri | http://hdl.handle.net/2117/11908 |
| dc.description.abstract | Given a numerical semigroup S(A), generated by A = {a,b,N} ⊂ N with 0 < a < b < N and gcd(a,b,N) = 1, we give a parameterization of the set F(m;A) = {(x, y, z) ∈ $N^3$ | xa + yb + zN = m} for any m ∈ S(A). We also give the catenary degree of S(A), c(A). Boths results need the computation of an L-shaped tile, related to the set A, that has time-complexity O(logN) in the worst case. |
| dc.format.extent | 5 p. |
| dc.language.iso | eng |
| dc.subject | Àrees temàtiques de la UPC::Matemàtiques i estadística::Àlgebra::Teoria de nombres |
| dc.subject.lcsh | Factorization (Mathematics) |
| dc.subject.lcsh | Number theory |
| dc.subject.lcsh | Algebra |
| dc.title | Factorization and catenary degree in 3-generated numerical semigroups |
| dc.type | Article |
| dc.subject.lemac | Factorització (Matemàtica) |
| dc.subject.lemac | Nombres, Teoria dels |
| dc.subject.lemac | Àlgebra |
| dc.contributor.group | Universitat Politècnica de Catalunya. COMBGRAPH - Combinatòria, Teoria de Grafs i Aplicacions |
| dc.identifier.doi | 10.1016/j.endm.2009.07.026 |
| dc.rights.access | Restricted access - publisher's policy |
| local.identifier.drac | 3106052 |
| dc.description.version | Postprint (published version) |
| local.citation.author | Aguilo, F.; García-Sánchez, P. A. |
| local.citation.publicationName | Electronic notes in discrete mathematics |
| local.citation.volume | 34 |
| local.citation.startingPage | 157 |
| local.citation.endingPage | 161 |
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