The arithmetic extensions of a numerical semigroup
Commutative Algebra
2020-03-31 v2 Group Theory
Abstract
In this paper we introduce the notion of extension of a numerical semigroup. We provide a characterization of the numerical semigroups whose extensions are all arithmetic and we give an algorithm for the computation of the whole set of arithmetic extension of a given numerical semigroup. As by-product, new explicit formulas for the Frobenius number and the genus of proportionally modular semigroups are obtained.
Cite
@article{arxiv.2003.05193,
title = {The arithmetic extensions of a numerical semigroup},
author = {Ignacio Ojeda and José Carlos Rosales},
journal= {arXiv preprint arXiv:2003.05193},
year = {2020}
}
Comments
This article has been accepted for publication in Communications in Algebra, published by Taylor & Francis