Delta sets for nonsymmetric numerical semigroups with embedding dimension three (Q1689390)

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scientific article; zbMATH DE number 6825353
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Delta sets for nonsymmetric numerical semigroups with embedding dimension three
scientific article; zbMATH DE number 6825353

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    Delta sets for nonsymmetric numerical semigroups with embedding dimension three (English)
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    12 January 2018
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    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?'.
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    numerical semigroup
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    factorizations
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    delta sets
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    symmetric numerical semigroup
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    Euclid's algorithm
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