Arf numerical semigroups

By José Carlos Rosales, P. García-Sánchez, Juan Ignacio García-García, M. B. Branco. 2004

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We introduce and study the concept of Arf system of generators for an Arf numerical semigroup. This study allows us to arrange the set of all Arf numerical semigroups in a binary tree and enables us to compute the Arf closure of a given numerical semigroup.

Subfields: Algebra and Number Theory, Computational Theory and Mathematics

View Paper: https://www.semanticscholar.org/paper/a3cb4dd8af2234d1029a5ccf9ef9d2ce8b5aad39