A computational Approach to the Study of Finite-Complement Submonids of an Affine Cone

Rosales González, José Carlos; Tapia-Ramos, R.; Vigneron Tenorio, Alberto

doi:10.1007/s00025-025-02373-x

s00025-025-02373-x.pdf (1.018Mb)

Identificadores

URI: https://hdl.handle.net/10481/103847

DOI: 10.1007/s00025-025-02373-x

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Editorial

Springer Nature

Materia

Affine semigroup

C-semigroups

Embedding dimension

Frobenius element

Generalized numerical semigroup

Fecha

2025-03-08

Referencia bibliográfica

Rosales, J.C., Tapia-Ramos, R. & Vigneron-Tenorio, A. A computational Approach to the Study of Finite-Complement Submonids of an Affine Cone. Results Math 80, 66 (2025). https://doi.org/10.1007/s00025-025-02373-x

Patrocinador

Universidad de Cádiz/CBUA; MICIU/AEI/10.13039/501100011033 PID2022-138906NB-C21; ERDF/EU; Junta de Andalucía ProyExcel_00868, FQM343; Universidad de Cádiz, Spain, INDESS

Resumen

Let C ⊆ Np be an integer cone. A C-semigroup S ⊆ C is an affine semigroup such that the set C\S is finite. Such C-semigroups are central to our study. We develop new algorithms for computing C-semigroups with specified invariants, including genus, Frobenius element, and their combinations, among other invariants. To achieve this, we introduce a new class of C-semigroups, termed B-semigroups. By fixing the degree lexicographic order, we also research the embedding dimension for both ordinary and mult-embedded N2-semigroups. These results are applied to test some generalizations of Wilf’s conjecture.

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