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Artículo
Integral points in rational polygons: a numerical semigroup approach
(Springer, 2016)
In this paper we use an elementary approach by using numerical semigroups (specifically, those with two generators) to give a formula for the number of integral points inside a right-angled triangle with rational ...
Artículo
On the computation of the Apéry set of numerical monoids and affine semigroups
(Springer, 2014-10-01)
A simple way of computing the Apéry set of a numerical semigroup (or monoid) with respect to a generator, using Groebner bases, is presented, together with a generalization for affine semigroups. This computation allows ...
Artículo
Characterization of Gaps and Elements of a Numerical Semigroup Using Groebner Bases
(Cornell University, 2019-07-02)
This article is partly a survey and partly a research paper. It tackles the use of Groebner bases for addressing problems of numerical semigroups, which is a topic that has been around for some years, but it does it in a ...