Please use this identifier to cite or link to this item: http://hdl.handle.net/10174/34633

Title: The set of numerical semigroups of a given multiplicity and Frobenius number
Authors: Manuel B., Branco
Ignacio, Ojeda
J. Carlos, Rosales
Keywords: Numerical semigroups, Frobenius number, Multiplicity, Partitions of sets, Algorithms, Kunz coordinates.
Issue Date: 2021
Publisher: Portugaliae Mathematica
Citation: Manuel B. Branco, Ignacio Ojeda, José Carlos Rosales, The set of numerical semigroups of a given multiplicity and Frobenius number. Port. Math. 78 (2021), no. 2, pp. 147–167
Abstract: We study the structure of the family of numerical semigroups with fixed multiplicity and Frobenius number. We give an algorithmic method to compute all the semigroups in this family. Moreover, several characterizations of this family are given. As an application we compute the set of all numerical semigroups with given multipliciy and gender.
URI: https://ems.press/journals/pm/articles/2340454
http://hdl.handle.net/10174/34633
Type: article
Appears in Collections:CIMA - Publicações - Artigos em Revistas Internacionais Com Arbitragem Científica

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