Bras-Amorós, Maria; de Mier, Anna Representation of numerical semigroups by Dyck paths. (English) Zbl 1128.20046 Semigroup Forum 75, No. 3, 677-682 (2007). Summary: We introduce square diagrams that represent numerical semigroups and we obtain an injection from the set of numerical semigroups into the set of Dyck paths. Cited in 1 ReviewCited in 11 Documents MSC: 20M14 Commutative semigroups Keywords:numerical semigroups; Dyck paths; gaps; genera Software:NumericalSemigroupsWithGenus PDF BibTeX XML Cite \textit{M. Bras-Amorós} and \textit{A. de Mier}, Semigroup Forum 75, No. 3, 677--682 (2007; Zbl 1128.20046) Full Text: DOI arXiv