Delta sets for nonsymmetric numerical semigroups with embedding dimension three
Let \(S\) be a nonsymmetric numerical semigroup with embedding dimension three. In this paper, the authors define the Bézout couples, generate a semigroup with them and use them in order to give the Delta set of \(S\). Moreover, a fast algorithm for computing this invariant is given. They compare their algorithm with the previous one implemented in GAP getting a huge difference of time. Finally, they solve the question `which finite subsets of \(\mathbb{N}\) are admissible Delta set for embedding dimension three numerical semigroups?'.
scientific article; zbMATH DE number 6825353
scientific article