@misc{10481/103847,
year = {2025},
month = {3},
url = {https://hdl.handle.net/10481/103847},
abstract = {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.},
organization = {Universidad de Cádiz/CBUA},
organization = {MICIU/AEI/10.13039/501100011033 PID2022-138906NB-C21},
organization = {ERDF/EU},
organization = {Junta de Andalucía  ProyExcel_00868, FQM343},
organization = {Universidad de Cádiz, Spain, INDESS},
publisher = {Springer Nature},
keywords = {Affine semigroup},
keywords = {C-semigroups},
keywords = {Embedding dimension},
keywords = {Frobenius element},
keywords = {Generalized numerical semigroup},
title = {A computational Approach to the Study of Finite-Complement Submonids of an Affine Cone},
doi = {10.1007/s00025-025-02373-x},
author = {Rosales González, José Carlos and Tapia-Ramos, R. and Vigneron Tenorio, Alberto},
}