English

Delta sets for symmetric numerical semigroups with embedding dimension three

Commutative Algebra 2017-01-05 v1 Combinatorics

Abstract

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.

Keywords

Cite

@article{arxiv.1701.00988,
  title  = {Delta sets for symmetric numerical semigroups with embedding dimension three},
  author = {P. A. García-Sánchez and D. Llena and A. Moscariello},
  journal= {arXiv preprint arXiv:1701.00988},
  year   = {2017}
}
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