On the enumeration of the set of saturated numerical semigroups of a given genus |
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| Authors: | J C Rosales M B Branco D Torrão |
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| Institution: | 1. Departamento de álgebra, Universidad de Granada, 18071, Granada, Spain
2. Departamento de Matemática, Universidade de évora, 7000, évora, Portugal
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| Abstract: | In this paper we present an algorithm for computing the set of saturated numerical semigroups of a given genus. We see how the set of saturated numerical semigroups can be arranged in a tree rooted in \(\mathbb{N}\) and we describe the sons of any vertex of this tree. |
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