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arxiv: 1701.00988 · v1 · pith:YVP6EHQVnew · submitted 2017-01-04 · 🧮 math.AC · math.CO

Delta sets for symmetric numerical semigroups with embedding dimension three

classification 🧮 math.AC math.CO
keywords deltadimensionembeddingnumericalsetsthreesemigroupssymmetric
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This work extends the results known for the Delta sets of non-symmetric numerical semigroups with embedding dimension three to the symmetric case. Thus, we have a fast algorithm to compute the Delta set of any embedding dimension three numerical semigroup. Also, as a consequence of these resutls, the sets that can be realized as Delta sets of numerical semigroups of embedding dimension three are fully characterized.

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