@misc{10481/93398,
year = {2024},
month = {5},
url = {https://hdl.handle.net/10481/93398},
abstract = {In this paper we present the notion of arithmetic variety for
numerical semigroups. We study various aspects related to these varieties
such as the smallest arithmetic that contains a set of numerical
semigroups and we exhibit the rooted tree associated with an arithmetic
variety. This tree is not locally finite; however, if the Frobenius number
is fixed, the tree has finitely many nodes and algorithms can be developed.
All algorithms provided in this article include their (non-debugged)
implementation in GAP.},
organization = {PID2022-138906NB-C21 funded by MICIU/
AEI/ 10.13039/501100011033},
organization = {ERDF/EU},
organization = {Proyecto de Excelencia de la Junta de Andalucía (ProyExcel 00868)},
organization = {Proyecto de investigación del Plan Propio - UCA 2022-2023 (PR2022-011)},
organization = {Research group FQM024 funded by Junta de Extremadura (Spain)/FEDER funds},
publisher = {Springer Nature},
keywords = {Numerical semigroup},
keywords = {Varieties},
keywords = {Rooted tree},
title = {Arithmetic Varieties of Numerical Semigroups},
doi = {10.1007/s00025-024-02212-5},
author = {B. Branco, Manuel and Ojeda, Ignacio and Rosales González, José Carlos},
}