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Computation of numerical semigroups by means of seeds

Autor
Bras, M.; Fernández, J.
Tipus d'activitat
Article en revista
Revista
Mathematics of computation
Data de publicació
2018-09-01
Volum
87
Número
313
Pàgina inicial
2539
Pàgina final
2550
DOI
https://doi.org/10.1090/mcom/3292 Obrir en finestra nova
Repositori
http://hdl.handle.net/2117/118339 Obrir en finestra nova
https://arxiv.org/pdf/1607.01545.pdf Obrir en finestra nova
URL
http://www.ams.org/journals/mcom/2018-87-313/S0025-5718-2018-03292-6/ Obrir en finestra nova
Resum
For the elements of a numerical semigroup which are larger than the Frobenius number, we introduce the definition of seed by broadening the notion of generator. This new concept allows us to explore the semigroup tree in an alternative efficient way, since the seeds of each descendant can be easily obtained from the seeds of its parent. The paper is devoted to presenting the results which are related to this approach, leading to a new algorithm for computing and counting the semigroups of a give...
Citació
Bras, M., Fernandez, J. Computation of numerical semigroups by means of seeds. "Mathematics of computation", 1 Setembre 2018, vol. 87, núm. 313, p. 2539-2550.
Grup de recerca
TN - Grup de Recerca en Teoria de Nombres

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