Semigroups with fixed multiplicity and embedding dimension

2017/10/10 by J. I. García-García, D. Marín-Aragón, García-García, J. I. +7
Mathematics · #20M05 (Secondary) #20M14 (Primary) #Commutative Algebra (math.AC) #Commutative Algebra and Its Applications #FOS: Mathematics #Graph theory and applications #Number Theory (math.NT) #Rings, Modules, and Algebras

paper · pdf · doi:10.48550/arxiv.1710.03523

openalex publication_date 2017/10/10 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Given m∈ ℕ, a numerical semigroup with multiplicity m is called packed numerical semigroup if its minimal generating set is included in \m,m+1,…, 2m-1\. In this work, packed numerical semigroups are used to built the set of numerical semigroups with fixed multiplicity and embedding dimension, and to create a partition in this set. Moreover, Wilf's conjecture is checked in the tree associated to some packed numerical semigroups.

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