Arithmetic varieties of numerical semigroups
Commutative Algebra
2023-11-23 v1
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 root three 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.
Cite
@article{arxiv.2311.13500,
title = {Arithmetic varieties of numerical semigroups},
author = {Manuel B. Branco and Ignacio Ojeda and José Carlos Rosales},
journal= {arXiv preprint arXiv:2311.13500},
year = {2023}
}
Comments
15 pages