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Some properties of affine \mathcal C-semigroups

2023/05/04 by J. I. García-García, García-García, Juan Ignacio, D. Marín-Aragón +5
Decision Sciences · Engineering · Mathematics · #20M14 #68R05 #Commutative Algebra (math.AC) #Commutative Algebra and Its Applications #FOS: Mathematics #Rings and Algebras (math.RA) #Scheduling and Optimization Algorithms #Scheduling and Timetabling Solutions

paper · pdf · doi:10.48550/arxiv.2305.05044

openalex publication_date 2023/05/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Numerical semigroups have been extensively studied throughout the literature, and many of their invariants have been characterized. In this work, we generalize some of the most important results about symmetry, pseudo-symmetry, or fundamental gaps, to affine \mathcal C-semigroups. In addition, we give algorithms to compute the tree of irreducible \mathcal C-semigroups and \mathcal C-semigroups with a given Frobenius vector.

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