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arXiv · 1907.01222

On the computation of the Apéry set of numerical monoids and affine semigroups

Guadalupe Márquez-Campos·Ignacio Ojeda·José M. Tornero
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Abstract

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 us to calculate the type set and, henceforth, to check the Gorenstein condition which characterizes the symmetric numerical subgroups.

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Guadalupe Márquez-Campos, Ignacio Ojeda, José M. Tornero. 2019-07-02. On the computation of the Apéry set of numerical monoids and affine semigroups. https://doi.org/10.1007/s00233-014-9631-y

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