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arXiv · 2003.05193

The arithmetic extensions of a numerical semigroup

Ignacio Ojeda·José Carlos Rosales
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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.

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Ignacio Ojeda, José Carlos Rosales. 2020-03-11. The arithmetic extensions of a numerical semigroup. https://doi.org/10.1080/00927872.2020.1744159

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