Delta sets for symmetric numerical semigroups with embedding dimension three

2017/01/04 by Pedro A. García-Sánchez, García-Sánchez, P. A., D. Llena +3
Computer Science · Mathematics · #05A17 #20M13 #20M14 #Combinatorics (math.CO) #Commutative Algebra (math.AC) #Commutative Algebra and Its Applications #FOS: Mathematics #Polynomial and algebraic computation #Rings, Modules, and Algebras

paper · pdf · doi:10.48550/arxiv.1701.00988

openalex publication_date 2017/01/04 · openalex created_date 2019/06/27 · openalex updated_date 2026/07/28

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.

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