Representation of Numerical Semigroups by Dyck Paths

2006/12/21 by Maria Bras-Amorós, Bras-Amorós, Maria, Anna de Mier +1 · 1 citation
Computer Science · Mathematics · #20M14 #Combinatorics (math.CO) #Commutative Algebra (math.AC) #Commutative Algebra and Its Applications #FOS: Mathematics #Polynomial and algebraic computation #Topological and Geometric Data Analysis #math.AC #math.CO #msc:20M14

paper · pdf · doi:10.48550/arxiv.math/0612634

Short note

arxiv created 2006/12/21 · openalex publication_date 2006/12/21 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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 by

• On the smallest partition associated to a numerical semigroup

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